On the Existence of Infinitely Many Solutions for Nonlocal Systems with Critical Exponents

We study a class of semilinear nonlocal elliptic systems posed on settings without compact Sobolev embedding. By employing critical point theory and concentration estimates, we prove the existence of infinitely many solutions for values of the dimension N, where N>6s, provided 0<s<1.

Bibliographic Details
Main Authors: M. Khiddi, R. Echarghaoui
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/7197542