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

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 th...

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Autor principal:	Calogero Vetro
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Szeged 2018-01-01
Col·lecció:	Electronic Journal of Qualitative Theory of Differential Equations
Matèries:	dirichlet boundary value problem $p(x)$-laplacian-like operator variable exponent sobolev space
Accés en línia:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6121
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