A multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents

TitleA multiplicity result for an elliptic anisotropic differential inclusion involving variable exponents
Publication TypeJournal Article
AuthorsCostea, Nicusor, and Gheorghe Morosanu
Journal titleSet-Valued and Variational Analysis
Year2013
Pages311-322
Volume21
Abstract

In this paper we are concerned with the study of a class of quasilinear elliptic diff erential
inclusions involving the anisotropic $\overrightarrow{p}(\cdot)$-Laplace operator, on a bounded open subset of $IR^n$ which has a smooth boundary. The abstract framework required to study this kind of di erential inclusions lies at the interface of three important branches in analysis: nonsmooth analysis, the variable exponent Lebesgue-Sobolev spaces theory and the anisotropic Sobolev spaces theory. Using the concept of
nonsmooth critical point we are able to prove that our problem admits at least two non-trivial weak
solutions.

ISSN1877-0533
LanguageEnglish
Publisher linkhttp://mathematics.ceu.hu/sites/default/files/field_attachment/page/node-19269/costea-morosanu-preprint-version.pdf
Unit: 
Department of Mathematics and its Applications