Singular elliptic systems involving concave terms and critical Caffarelli-Kohn-Nirenberg exponents

In this article, we establish the existence of at least four solutions to a singular system with a concave term, a critical Caffarelli-Kohn-Nirenberg exponent, and sign-changing weight functions. Our main tools are the Nehari manifold and the mountain pass theorem.

Bibliographic Details
Main Author: Mohammed E. O. El Mokhtar
Format: Article
Language:English
Published: Texas State University 2012-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/39/abstr.html