$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition

$p$-biharmonic equation with Hardy–Sobolev exponent and without the Ambrosetti–Rabinowitz condition

This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively. We focus on the case of the nonlinear terms without the Ambrosetti–Rabinowitz conditions. Our method is bas...

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Bibliographic Details
Main Author: Weihua Wang
Format: Article
Language:English
Published: University of Szeged 2020-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
variational methods
$p$-biharmonic equation
sobolev–hardy inequality
fountain theorem
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8166
Description
Summary:This paper is concerned with the existence and multiplicity to $p$-biharmonic equation with Sobolev–Hardy term under Dirichlet boundary conditions and Navier boundary conditions, respectively. We focus on the case of the nonlinear terms without the Ambrosetti–Rabinowitz conditions. Our method is based on the variational method.
ISSN:1417-3875
1417-3875

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