Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator

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Abstract

We prove the existence of weak solutions to the Dirichlet boundary value problem for equations involving the p(x)-Laplacian-like operator in the principal part, with reaction term satisfying a sub-critical growth condition. We establish the existence of at least one nontrivial weak solution and three weak solutions, by using variational methods and critical point theory.
Original languageEnglish
Pages (from-to)1-10
Number of pages10
JournalELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Volume2017
Publication statusPublished - 2017

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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