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Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
Calogero Vetrosubject
Pure mathematicsApplied MathematicsOperator (physics)010102 general mathematicsdirichlet boundary value problem01 natural sciencesDirichlet distribution010101 applied mathematicssymbols.namesakeSettore MAT/05 - Analisi MatematicaP(x)-Laplacian-like operatorQA1-939symbolsvariable exponent sobolev spaceBoundary value problem0101 mathematics$p(x)$-laplacian-like operatorLaplace operatorMathematicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Electronic Journal of Qualitative Theory of Differential Equations |