Multiple Solutions of a p(x)-Laplacian Equation Involving Critical Nonlinearities

Yuan Liang, Xianbin Wu, Qihu Zhang, Chunshan Zhao

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

In this paper, we consider the existence of multiple solutions for the following p(x)-Laplacian equations with critical Sobolev growth conditions We show the existence of infinitely many pairs of solutions by applying the Fountain Theorem and the Dual Fountain Theorem respectively. We also present a variant of the concentration-compactness principle, which is of independent interest.

Original languageAmerican English
JournalTaiwanese Journal of Mathematics
Volume17
DOIs
StatePublished - Dec 1 2013

Keywords

  • Critical exponent
  • Integral functional
  • Variable exponent Sobolev space
  • p(x)-Laplacian

DC Disciplines

  • Education
  • Mathematics

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