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

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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Bibliographic Details
Main Author: Calogero Vetro
Format: Article
Language:English
Published: University of Szeged 2018-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
dirichlet boundary value problem
$p(x)$-laplacian-like operator
variable exponent sobolev space
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6121

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http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6121

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