Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator

Existence and multiplicity results for a class of Kirchho type problems involving the p(x)-biharmonic operator

The aim of this paper is to establish the existence and multiplicity of solutions for a class of nonlocal problem involving the p(x)-biharmonic operator. Our technical approach is based on direct variational method and the theory of variable exponent Sobolev spaces.

Bibliographic Details
Main Author: Omar Darhouche
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2019-04-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Variational method
Mountain pass theorem
p(x)-Biharmonic Operator
Kirchho type equation
Nonlocal problem
Navier boundary conditions
generalized Lebesgue-Sobolev spaces
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32100

Internet

http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32100

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