The Numbers of Positive Solutions by the Lusternik-Schnirelmann Category for a Quasilinear Elliptic System Critical with Hardy Terms

In this paper, we study the quasilinear elliptic system with Sobolev critical exponent involving both concave-convex and Hardy terms in bounded domains. By employing the technique introduced by Benci and Cerami (1991), we obtain at least cat(Ω)+1 distinct positive solutions.

Bibliographic Details
Main Author: Mustapha Khiddi
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2019/4829861