Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent

We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.

Bibliographic Details
Main Author: Mohammed El Mokhtar Ould El Mokhtar
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2015/494907