Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

Abstract In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term. The main tools adopted in our proofs are the concentration compactness principle and Nehari manifold.

Bibliographic Details
Main Authors: Yanbin Sang, Siman Guo
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Journal of Inequalities and Applications
Subjects:
quasi-linear elliptic problems
Nehari manifold
positive solution
best Sobolev constant
Online Access:http://link.springer.com/article/10.1186/s13660-017-1492-y

Internet

http://link.springer.com/article/10.1186/s13660-017-1492-y

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