A Hardy–Littlewood–Sobolev-Type Inequality for Variable Exponents and Applications to Quasilinear Choquard Equations Involving Variable Exponent View Full Text


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Article Info

DATE

2019-04

AUTHORS

Claudianor O. Alves, Leandro S. Tavares

ABSTRACT

In this work, we have proved a Hardy–Littlewood–Sobolev inequality for variable exponents. After that, we use this inequality together with the variational method to establish the existence of solution for a class of Choquard equations involving the p(x)-Laplacian operator.

PAGES

55

References to SciGraph publications

  • 2006. Existence of Solutions for a Class of Problems in IRN Involving the p(x)-Laplacian in CONTRIBUTIONS TO NONLINEAR ANALYSIS
  • 2015-01. Semi-classical states for the Choquard equation in CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
  • 1997-04. Image recovery via total variation minimization and related problems in NUMERISCHE MATHEMATIK
  • 2006-07. On stationary thermo-rheological viscous flows in ANNALI DELL' UNIVERSITÀ DI FERRARA
  • 2002-09. Regularity Results for Stationary Electro-Rheological Fluids in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1983. Orlicz Spaces and Modular Spaces in NONE
  • 2010-02. Classification of Positive Solitary Solutions of the Nonlinear Choquard Equation in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2004-10. On a periodic Schrödinger equation with nonlocal superlinear part in MATHEMATISCHE ZEITSCHRIFT
  • 2014-12. On the Sobolev trace Theorem for variable exponent spaces in the critical range in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2000. Electrorheological Fluids: Modeling and Mathematical Theory in NONE
  • Journal

    TITLE

    Mediterranean Journal of Mathematics

    ISSUE

    2

    VOLUME

    16

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00009-019-1316-z

    DOI

    http://dx.doi.org/10.1007/s00009-019-1316-z

    DIMENSIONS

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