Entropy solution for a nonlinear elliptic problem with lower order term in Musielak–Orlicz spaces View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-11

AUTHORS

R. Elarabi, M. Rhoudaf, H. Sabiki

ABSTRACT

In this paper, we shall be concerned with the existence result of the following problem, 0.1-diva(x,u,∇u)-div(Φ(x,u))=finΩ,u=0on∂Ω,with the second term f belongs to L1(Ω). The growth and the coercivity conditions on the monotone vector field a are prescribed by a generalized N-function M. We assume any restriction on M, therefore we work with Musielak–Orlicz spaces which are not necessarily reflexive. The lower order term Φ is a Carathéodory function satisfying only a growth condition. More... »

PAGES

549-579

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11587-017-0334-z

DOI

http://dx.doi.org/10.1007/s11587-017-0334-z

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1090928727


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/2008/0912", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Materials Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/09", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Engineering", 
        "type": "DefinedTerm"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "Universite Moulay Ismail De Meknes", 
          "id": "https://www.grid.ac/institutes/grid.10412.36", 
          "name": [
            "\u00c9quipe EDP et calcul scientifique, Universit\u00e9 Moulay Ismail, Facult\u00e9 des Sciences Mekn\u00e8s, Mekn\u00e8s, Maroc"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Elarabi", 
        "givenName": "R.", 
        "id": "sg:person.014234203561.82", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014234203561.82"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Universite Moulay Ismail De Meknes", 
          "id": "https://www.grid.ac/institutes/grid.10412.36", 
          "name": [
            "\u00c9quipe EDP et calcul scientifique, Universit\u00e9 Moulay Ismail, Facult\u00e9 des Sciences Mekn\u00e8s, Mekn\u00e8s, Maroc"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rhoudaf", 
        "givenName": "M.", 
        "id": "sg:person.010306361717.66", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010306361717.66"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Universit\u00e9 Ibn-Tofail", 
          "id": "https://www.grid.ac/institutes/grid.412150.3", 
          "name": [
            "Laboratoire d\u2019Analyse, Geom\u00e9trie et Applications, Universit\u00e9 Ibn Tofail, Facult\u00e9 des Sciences, BP 133, 14000, Kenitra, Morocco"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sabiki", 
        "givenName": "H.", 
        "id": "sg:person.015627144561.56", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015627144561.56"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/s11587-016-0255-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001229261", 
          "https://doi.org/10.1007/s11587-016-0255-2"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(87)90053-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1003958476"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0362-546x(92)90023-8", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1014556235"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0362-546x(97)00612-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1016209488"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bfb0072210", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018331833", 
          "https://doi.org/10.1007/bfb0072210"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bfb0072210", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1018331833", 
          "https://doi.org/10.1007/bfb0072210"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1006/jdeq.1993.1106", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020838228"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1515/jaa.2007.151", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1037150113"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bfb0104029", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043628841", 
          "https://doi.org/10.1007/bfb0104029"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bfb0104029", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043628841", 
          "https://doi.org/10.1007/bfb0104029"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01766148", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045523591", 
          "https://doi.org/10.1007/bf01766148"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01766148", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045523591", 
          "https://doi.org/10.1007/bf01766148"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/s0002-9947-1974-0342854-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046506534"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1070/im1987v029n01abeh000958", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1058167330"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1137/050624522", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062846019"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.2307/1971423", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1069676692"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11587-017-0322-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084031983", 
          "https://doi.org/10.1007/s11587-017-0322-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/s11587-017-0322-3", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1084031983", 
          "https://doi.org/10.1007/s11587-017-0322-3"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.4064/sm-74-1-17-24", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1092013778"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/cbms/074", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1098722415"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2018-11", 
    "datePublishedReg": "2018-11-01", 
    "description": "In this paper, we shall be concerned with the existence result of the following problem, 0.1-diva(x,u,\u2207u)-div(\u03a6(x,u))=fin\u03a9,u=0on\u2202\u03a9,with the second term f belongs to L1(\u03a9). The growth and the coercivity conditions on the monotone vector field a are prescribed by a generalized N-function M. We assume any restriction on M, therefore we work with Musielak\u2013Orlicz spaces which are not necessarily reflexive. The lower order term \u03a6 is a Carath\u00e9odory function satisfying only a growth condition.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s11587-017-0334-z", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1136342", 
        "issn": [
          "0035-5038", 
          "1827-3491"
        ], 
        "name": "Ricerche di Matematica", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "2", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "67"
      }
    ], 
    "name": "Entropy solution for a nonlinear elliptic problem with lower order term in Musielak\u2013Orlicz spaces", 
    "pagination": "549-579", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "011d0b166588e9a4a209ede0f5661ff0c88ae7fa62cacb13891c8b89e1e917a6"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s11587-017-0334-z"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1090928727"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s11587-017-0334-z", 
      "https://app.dimensions.ai/details/publication/pub.1090928727"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T02:23", 
    "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/v90/0000000001_0000000264/records_8700_00000562.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs11587-017-0334-z"
  }
]
 

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/s11587-017-0334-z'

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/s11587-017-0334-z'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s11587-017-0334-z'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s11587-017-0334-z'


 

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

131 TRIPLES      21 PREDICATES      43 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s11587-017-0334-z schema:about anzsrc-for:09
2 anzsrc-for:0912
3 schema:author N048037d9abbd4383899bfc79175aa6b6
4 schema:citation sg:pub.10.1007/bf01766148
5 sg:pub.10.1007/bfb0072210
6 sg:pub.10.1007/bfb0104029
7 sg:pub.10.1007/s11587-016-0255-2
8 sg:pub.10.1007/s11587-017-0322-3
9 https://doi.org/10.1006/jdeq.1993.1106
10 https://doi.org/10.1016/0362-546x(87)90053-8
11 https://doi.org/10.1016/0362-546x(92)90023-8
12 https://doi.org/10.1016/s0362-546x(97)00612-3
13 https://doi.org/10.1070/im1987v029n01abeh000958
14 https://doi.org/10.1090/cbms/074
15 https://doi.org/10.1090/s0002-9947-1974-0342854-2
16 https://doi.org/10.1137/050624522
17 https://doi.org/10.1515/jaa.2007.151
18 https://doi.org/10.2307/1971423
19 https://doi.org/10.4064/sm-74-1-17-24
20 schema:datePublished 2018-11
21 schema:datePublishedReg 2018-11-01
22 schema:description In this paper, we shall be concerned with the existence result of the following problem, 0.1-diva(x,u,∇u)-div(Φ(x,u))=finΩ,u=0on∂Ω,with the second term f belongs to L1(Ω). The growth and the coercivity conditions on the monotone vector field a are prescribed by a generalized N-function M. We assume any restriction on M, therefore we work with Musielak–Orlicz spaces which are not necessarily reflexive. The lower order term Φ is a Carathéodory function satisfying only a growth condition.
23 schema:genre research_article
24 schema:inLanguage en
25 schema:isAccessibleForFree false
26 schema:isPartOf N8102d6e91b054bcc9fc1f9f9d8a2cd9e
27 Na8e567c8df3d4187b625977cebbef0fb
28 sg:journal.1136342
29 schema:name Entropy solution for a nonlinear elliptic problem with lower order term in Musielak–Orlicz spaces
30 schema:pagination 549-579
31 schema:productId N2799c9addfda459fb8a0c35c88f03807
32 N5dc40536c19d46f296e9b7e31a7819ae
33 N806001e4dab34922b6aa7ceee86ccd2b
34 schema:sameAs https://app.dimensions.ai/details/publication/pub.1090928727
35 https://doi.org/10.1007/s11587-017-0334-z
36 schema:sdDatePublished 2019-04-11T02:23
37 schema:sdLicense https://scigraph.springernature.com/explorer/license/
38 schema:sdPublisher N36adf812e0be4239978c33acecfa1846
39 schema:url https://link.springer.com/10.1007%2Fs11587-017-0334-z
40 sgo:license sg:explorer/license/
41 sgo:sdDataset articles
42 rdf:type schema:ScholarlyArticle
43 N048037d9abbd4383899bfc79175aa6b6 rdf:first sg:person.014234203561.82
44 rdf:rest Ne3c3cb40a90941d5874c6a6eed27df12
45 N2799c9addfda459fb8a0c35c88f03807 schema:name dimensions_id
46 schema:value pub.1090928727
47 rdf:type schema:PropertyValue
48 N36adf812e0be4239978c33acecfa1846 schema:name Springer Nature - SN SciGraph project
49 rdf:type schema:Organization
50 N5dc40536c19d46f296e9b7e31a7819ae schema:name readcube_id
51 schema:value 011d0b166588e9a4a209ede0f5661ff0c88ae7fa62cacb13891c8b89e1e917a6
52 rdf:type schema:PropertyValue
53 N806001e4dab34922b6aa7ceee86ccd2b schema:name doi
54 schema:value 10.1007/s11587-017-0334-z
55 rdf:type schema:PropertyValue
56 N8102d6e91b054bcc9fc1f9f9d8a2cd9e schema:issueNumber 2
57 rdf:type schema:PublicationIssue
58 N9e5d6cad20d14fe9a33fd5019714af1c rdf:first sg:person.015627144561.56
59 rdf:rest rdf:nil
60 Na8e567c8df3d4187b625977cebbef0fb schema:volumeNumber 67
61 rdf:type schema:PublicationVolume
62 Ne3c3cb40a90941d5874c6a6eed27df12 rdf:first sg:person.010306361717.66
63 rdf:rest N9e5d6cad20d14fe9a33fd5019714af1c
64 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
65 schema:name Engineering
66 rdf:type schema:DefinedTerm
67 anzsrc-for:0912 schema:inDefinedTermSet anzsrc-for:
68 schema:name Materials Engineering
69 rdf:type schema:DefinedTerm
70 sg:journal.1136342 schema:issn 0035-5038
71 1827-3491
72 schema:name Ricerche di Matematica
73 rdf:type schema:Periodical
74 sg:person.010306361717.66 schema:affiliation https://www.grid.ac/institutes/grid.10412.36
75 schema:familyName Rhoudaf
76 schema:givenName M.
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010306361717.66
78 rdf:type schema:Person
79 sg:person.014234203561.82 schema:affiliation https://www.grid.ac/institutes/grid.10412.36
80 schema:familyName Elarabi
81 schema:givenName R.
82 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014234203561.82
83 rdf:type schema:Person
84 sg:person.015627144561.56 schema:affiliation https://www.grid.ac/institutes/grid.412150.3
85 schema:familyName Sabiki
86 schema:givenName H.
87 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015627144561.56
88 rdf:type schema:Person
89 sg:pub.10.1007/bf01766148 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045523591
90 https://doi.org/10.1007/bf01766148
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/bfb0072210 schema:sameAs https://app.dimensions.ai/details/publication/pub.1018331833
93 https://doi.org/10.1007/bfb0072210
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/bfb0104029 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043628841
96 https://doi.org/10.1007/bfb0104029
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/s11587-016-0255-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001229261
99 https://doi.org/10.1007/s11587-016-0255-2
100 rdf:type schema:CreativeWork
101 sg:pub.10.1007/s11587-017-0322-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1084031983
102 https://doi.org/10.1007/s11587-017-0322-3
103 rdf:type schema:CreativeWork
104 https://doi.org/10.1006/jdeq.1993.1106 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020838228
105 rdf:type schema:CreativeWork
106 https://doi.org/10.1016/0362-546x(87)90053-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1003958476
107 rdf:type schema:CreativeWork
108 https://doi.org/10.1016/0362-546x(92)90023-8 schema:sameAs https://app.dimensions.ai/details/publication/pub.1014556235
109 rdf:type schema:CreativeWork
110 https://doi.org/10.1016/s0362-546x(97)00612-3 schema:sameAs https://app.dimensions.ai/details/publication/pub.1016209488
111 rdf:type schema:CreativeWork
112 https://doi.org/10.1070/im1987v029n01abeh000958 schema:sameAs https://app.dimensions.ai/details/publication/pub.1058167330
113 rdf:type schema:CreativeWork
114 https://doi.org/10.1090/cbms/074 schema:sameAs https://app.dimensions.ai/details/publication/pub.1098722415
115 rdf:type schema:CreativeWork
116 https://doi.org/10.1090/s0002-9947-1974-0342854-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046506534
117 rdf:type schema:CreativeWork
118 https://doi.org/10.1137/050624522 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062846019
119 rdf:type schema:CreativeWork
120 https://doi.org/10.1515/jaa.2007.151 schema:sameAs https://app.dimensions.ai/details/publication/pub.1037150113
121 rdf:type schema:CreativeWork
122 https://doi.org/10.2307/1971423 schema:sameAs https://app.dimensions.ai/details/publication/pub.1069676692
123 rdf:type schema:CreativeWork
124 https://doi.org/10.4064/sm-74-1-17-24 schema:sameAs https://app.dimensions.ai/details/publication/pub.1092013778
125 rdf:type schema:CreativeWork
126 https://www.grid.ac/institutes/grid.10412.36 schema:alternateName Universite Moulay Ismail De Meknes
127 schema:name Équipe EDP et calcul scientifique, Université Moulay Ismail, Faculté des Sciences Meknès, Meknès, Maroc
128 rdf:type schema:Organization
129 https://www.grid.ac/institutes/grid.412150.3 schema:alternateName Université Ibn-Tofail
130 schema:name Laboratoire d’Analyse, Geométrie et Applications, Université Ibn Tofail, Faculté des Sciences, BP 133, 14000, Kenitra, Morocco
131 rdf:type schema:Organization
 




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


...