TY - JOUR
T1 - Existence and multiplicity of solutions for Dirichlet problems involving the p(x)-Laplace operator
AU - Avci, Mustafa
PY - 2013/1/14
Y1 - 2013/1/14
N2 - In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition. Using a variant Fountain theorem, but not including Palais-Smale type assumptions, we prove the existence and multiplicity of the solutions.
AB - In this article, we study superlinear Dirichlet problems involving the p(x)-Laplace operator without using the Ambrosetti-Rabinowitz's superquadraticity condition. Using a variant Fountain theorem, but not including Palais-Smale type assumptions, we prove the existence and multiplicity of the solutions.
KW - Fountain theorem
KW - P(x)-laplace operator
KW - Variable exponent lebesgue-Sobolev spaces
KW - Variational approach
UR - http://www.scopus.com/inward/record.url?scp=84872814691&partnerID=8YFLogxK
M3 - Journal Article
AN - SCOPUS:84872814691
VL - 2013
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
ER -