Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2019-02-09

AUTHORS

Hanli Tang

ABSTRACT

The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal. 64(1-2):29–51, 2009), Lu and Tang (Adv. Nonlinear Stud. 16(3):581–601, 2016). In this paper, we will prove that these critical and subcritical Trudinger-Moser inequalities are actually equivalent and thus extend those equivalence results of Lam et al. (Rev. Mat. Iberoam 33(4):1219–1246, 2017) into Lorentz Sobolev spaces. More... »

PAGES

1-18

References to SciGraph publications

  • 1977-06. Existence of solitary waves in higher dimensions in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2005-05. Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds in SCIENCE IN CHINA SERIES A MATHEMATICS
  • 2018-06. Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 1996-06. Moser-type inequalities in Lorentz spaces in POTENTIAL ANALYSIS
  • 1992-12. Extremal functions for the trudinger-moser inequality in 2 dimensions in COMMENTARII MATHEMATICI HELVETICI
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11118-019-09769-9

    DOI

    http://dx.doi.org/10.1007/s11118-019-09769-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112039602


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/1117", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Public Health and Health Services", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/11", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Medical and Health Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Beijing Normal University", 
              "id": "https://www.grid.ac/institutes/grid.20513.35", 
              "name": [
                "School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Tang", 
            "givenName": "Hanli", 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1016/j.aim.2012.09.004", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002125386"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1080/03605309208820848", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1005785715"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/ans-2015-5046", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1011566938"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jfa.2004.06.013", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1018136730"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1155/s1085337597000419", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1019589425"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01626517", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1020519501", 
              "https://doi.org/10.1007/bf01626517"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf02566514", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1021298223", 
              "https://doi.org/10.1007/bf02566514"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-99-05180-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1027515385"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9939-99-05147-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032022906"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1090/s0002-9947-96-01541-3", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032500648"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.jde.2013.04.005", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039892663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/j.na.2013.08.031", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1042332349"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf00282364", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1049593517", 
              "https://doi.org/10.1007/bf00282364"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1215/s0012-7094-63-03015-1", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1064417663"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1360/04ys0050", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1065069583", 
              "https://doi.org/10.1360/04ys0050"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1512/iumj.1968.17.17028", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1067510947"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1512/iumj.2001.50.2138", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1067513267"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1512/iumj.2008.57.3137", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1067513717"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.2307/1971445", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1069676714"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.4171/rmi/969", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1092763230"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00526-018-1352-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103763564", 
              "https://doi.org/10.1007/s00526-018-1352-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/s00526-018-1352-8", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1103763564", 
              "https://doi.org/10.1007/s00526-018-1352-8"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1515/ans-2018-2020", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1105159233"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2019-02-09", 
        "datePublishedReg": "2019-02-09", 
        "description": "The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal. 64(1-2):29\u201351, 2009), Lu and Tang (Adv. Nonlinear Stud. 16(3):581\u2013601, 2016). In this paper, we will prove that these critical and subcritical Trudinger-Moser inequalities are actually equivalent and thus extend those equivalence results of Lam et al. (Rev. Mat. Iberoam 33(4):1219\u20131246, 2017) into Lorentz Sobolev spaces.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/s11118-019-09769-9", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1135984", 
            "issn": [
              "0926-2601", 
              "1572-929X"
            ], 
            "name": "Potential Analysis", 
            "type": "Periodical"
          }
        ], 
        "name": "Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces", 
        "pagination": "1-18", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "5fbfc1bc3bf1c44b475fc9aa2a8f00f066ef18cf7546e88b89d0faaeea3cfdfb"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s11118-019-09769-9"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1112039602"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s11118-019-09769-9", 
          "https://app.dimensions.ai/details/publication/pub.1112039602"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T09:03", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000333_0000000333/records_41717_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://link.springer.com/10.1007%2Fs11118-019-09769-9"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s11118-019-09769-9'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s11118-019-09769-9'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11118-019-09769-9'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11118-019-09769-9'


     

    This table displays all metadata directly associated to this object as RDF triples.

    125 TRIPLES      21 PREDICATES      46 URIs      16 LITERALS      5 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s11118-019-09769-9 schema:about anzsrc-for:11
    2 anzsrc-for:1117
    3 schema:author Nf47c4818007d4747a08f2d84f12d801e
    4 schema:citation sg:pub.10.1007/bf00282364
    5 sg:pub.10.1007/bf01626517
    6 sg:pub.10.1007/bf02566514
    7 sg:pub.10.1007/s00526-018-1352-8
    8 sg:pub.10.1360/04ys0050
    9 https://doi.org/10.1016/j.aim.2012.09.004
    10 https://doi.org/10.1016/j.jde.2013.04.005
    11 https://doi.org/10.1016/j.jfa.2004.06.013
    12 https://doi.org/10.1016/j.na.2013.08.031
    13 https://doi.org/10.1080/03605309208820848
    14 https://doi.org/10.1090/s0002-9939-99-05147-3
    15 https://doi.org/10.1090/s0002-9939-99-05180-1
    16 https://doi.org/10.1090/s0002-9947-96-01541-3
    17 https://doi.org/10.1155/s1085337597000419
    18 https://doi.org/10.1215/s0012-7094-63-03015-1
    19 https://doi.org/10.1512/iumj.1968.17.17028
    20 https://doi.org/10.1512/iumj.2001.50.2138
    21 https://doi.org/10.1512/iumj.2008.57.3137
    22 https://doi.org/10.1515/ans-2015-5046
    23 https://doi.org/10.1515/ans-2018-2020
    24 https://doi.org/10.2307/1971445
    25 https://doi.org/10.4171/rmi/969
    26 schema:datePublished 2019-02-09
    27 schema:datePublishedReg 2019-02-09
    28 schema:description The critical and subcritical Trudinger-Moser inequalities in Lorentz Sobolev space have been studied by Cassani and Tarsi (Asymptot. Anal. 64(1-2):29–51, 2009), Lu and Tang (Adv. Nonlinear Stud. 16(3):581–601, 2016). In this paper, we will prove that these critical and subcritical Trudinger-Moser inequalities are actually equivalent and thus extend those equivalence results of Lam et al. (Rev. Mat. Iberoam 33(4):1219–1246, 2017) into Lorentz Sobolev spaces.
    29 schema:genre research_article
    30 schema:inLanguage en
    31 schema:isAccessibleForFree false
    32 schema:isPartOf sg:journal.1135984
    33 schema:name Equivalence of Sharp Trudinger-Moser Inequalities in Lorentz-Sobolev Spaces
    34 schema:pagination 1-18
    35 schema:productId N0a2304d4195341ea9cd4b60e19f1231e
    36 N2b3b614fcedf45268c05ad2e06f1c726
    37 N697d8fe243d24cc7b922572746b01799
    38 schema:sameAs https://app.dimensions.ai/details/publication/pub.1112039602
    39 https://doi.org/10.1007/s11118-019-09769-9
    40 schema:sdDatePublished 2019-04-11T09:03
    41 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    42 schema:sdPublisher N49cb7e3346c348ed95422596b8ce4249
    43 schema:url https://link.springer.com/10.1007%2Fs11118-019-09769-9
    44 sgo:license sg:explorer/license/
    45 sgo:sdDataset articles
    46 rdf:type schema:ScholarlyArticle
    47 N0a2304d4195341ea9cd4b60e19f1231e schema:name readcube_id
    48 schema:value 5fbfc1bc3bf1c44b475fc9aa2a8f00f066ef18cf7546e88b89d0faaeea3cfdfb
    49 rdf:type schema:PropertyValue
    50 N2b3b614fcedf45268c05ad2e06f1c726 schema:name dimensions_id
    51 schema:value pub.1112039602
    52 rdf:type schema:PropertyValue
    53 N49cb7e3346c348ed95422596b8ce4249 schema:name Springer Nature - SN SciGraph project
    54 rdf:type schema:Organization
    55 N697d8fe243d24cc7b922572746b01799 schema:name doi
    56 schema:value 10.1007/s11118-019-09769-9
    57 rdf:type schema:PropertyValue
    58 Nf47c4818007d4747a08f2d84f12d801e rdf:first Nf7fcd68fe9bf4593a1b04c4595e483fb
    59 rdf:rest rdf:nil
    60 Nf7fcd68fe9bf4593a1b04c4595e483fb schema:affiliation https://www.grid.ac/institutes/grid.20513.35
    61 schema:familyName Tang
    62 schema:givenName Hanli
    63 rdf:type schema:Person
    64 anzsrc-for:11 schema:inDefinedTermSet anzsrc-for:
    65 schema:name Medical and Health Sciences
    66 rdf:type schema:DefinedTerm
    67 anzsrc-for:1117 schema:inDefinedTermSet anzsrc-for:
    68 schema:name Public Health and Health Services
    69 rdf:type schema:DefinedTerm
    70 sg:journal.1135984 schema:issn 0926-2601
    71 1572-929X
    72 schema:name Potential Analysis
    73 rdf:type schema:Periodical
    74 sg:pub.10.1007/bf00282364 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049593517
    75 https://doi.org/10.1007/bf00282364
    76 rdf:type schema:CreativeWork
    77 sg:pub.10.1007/bf01626517 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020519501
    78 https://doi.org/10.1007/bf01626517
    79 rdf:type schema:CreativeWork
    80 sg:pub.10.1007/bf02566514 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021298223
    81 https://doi.org/10.1007/bf02566514
    82 rdf:type schema:CreativeWork
    83 sg:pub.10.1007/s00526-018-1352-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1103763564
    84 https://doi.org/10.1007/s00526-018-1352-8
    85 rdf:type schema:CreativeWork
    86 sg:pub.10.1360/04ys0050 schema:sameAs https://app.dimensions.ai/details/publication/pub.1065069583
    87 https://doi.org/10.1360/04ys0050
    88 rdf:type schema:CreativeWork
    89 https://doi.org/10.1016/j.aim.2012.09.004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002125386
    90 rdf:type schema:CreativeWork
    91 https://doi.org/10.1016/j.jde.2013.04.005 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039892663
    92 rdf:type schema:CreativeWork
    93 https://doi.org/10.1016/j.jfa.2004.06.013 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018136730
    94 rdf:type schema:CreativeWork
    95 https://doi.org/10.1016/j.na.2013.08.031 schema:sameAs https://app.dimensions.ai/details/publication/pub.1042332349
    96 rdf:type schema:CreativeWork
    97 https://doi.org/10.1080/03605309208820848 schema:sameAs https://app.dimensions.ai/details/publication/pub.1005785715
    98 rdf:type schema:CreativeWork
    99 https://doi.org/10.1090/s0002-9939-99-05147-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032022906
    100 rdf:type schema:CreativeWork
    101 https://doi.org/10.1090/s0002-9939-99-05180-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027515385
    102 rdf:type schema:CreativeWork
    103 https://doi.org/10.1090/s0002-9947-96-01541-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032500648
    104 rdf:type schema:CreativeWork
    105 https://doi.org/10.1155/s1085337597000419 schema:sameAs https://app.dimensions.ai/details/publication/pub.1019589425
    106 rdf:type schema:CreativeWork
    107 https://doi.org/10.1215/s0012-7094-63-03015-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1064417663
    108 rdf:type schema:CreativeWork
    109 https://doi.org/10.1512/iumj.1968.17.17028 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067510947
    110 rdf:type schema:CreativeWork
    111 https://doi.org/10.1512/iumj.2001.50.2138 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067513267
    112 rdf:type schema:CreativeWork
    113 https://doi.org/10.1512/iumj.2008.57.3137 schema:sameAs https://app.dimensions.ai/details/publication/pub.1067513717
    114 rdf:type schema:CreativeWork
    115 https://doi.org/10.1515/ans-2015-5046 schema:sameAs https://app.dimensions.ai/details/publication/pub.1011566938
    116 rdf:type schema:CreativeWork
    117 https://doi.org/10.1515/ans-2018-2020 schema:sameAs https://app.dimensions.ai/details/publication/pub.1105159233
    118 rdf:type schema:CreativeWork
    119 https://doi.org/10.2307/1971445 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069676714
    120 rdf:type schema:CreativeWork
    121 https://doi.org/10.4171/rmi/969 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092763230
    122 rdf:type schema:CreativeWork
    123 https://www.grid.ac/institutes/grid.20513.35 schema:alternateName Beijing Normal University
    124 schema:name School of Mathematical Sciences, Beijing Normal University, 100875, Beijing, China
    125 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...