TY - JOUR

T1 - Weak solutions to Dirichlet boundary value problem driven by p(x)-Laplacian-like operator

AU - Vetro, Calogero

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

KW - Dirichlet boundary value problem

KW - P(x)-Laplacian-like operator

KW - Variable exponent Sobolev space

KW - Dirichlet boundary value problem

KW - P(x)-Laplacian-like operator

KW - Variable exponent Sobolev space

UR - http://hdl.handle.net/10447/265015

UR - http://www.math.u-szeged.hu/ejqtde/p6121.pdf

M3 - Article

VL - 2017

SP - 1

EP - 10

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

SN - 1417-3875

ER -