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.

Vetro, C. (2017). Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017(98), 1-10 [10.14232/ejqtde.2017.1.98].

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

Vetro, Calogero
2017-01-01

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.
2017
Settore MAT/05 - Analisi Matematica
Vetro, C. (2017). Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017(98), 1-10 [10.14232/ejqtde.2017.1.98].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/265015
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