Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator
- Autori: Vetro, C.
- Anno di pubblicazione: 2017
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Dirichlet boundary value problem; P(x)-Laplacian-like operator; Variable exponent Sobolev space;
- OA Link: http://hdl.handle.net/10447/265015
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.