Multiple positive solutions for degenerate elliptic equations with critical cone Sobolev exponents on singular manifolds

In this article, we show the existence of multiple positive solutions to a class of degenerate elliptic equations involving critical cone Sobolev exponent and sign-changing weight function on singular manifolds with the help of category theory and the Nehari manifold method.

Bibliographic Details
Main Authors: Haining Fan, Xiaochun Liu
Format: Article
Language:English
Published: Texas State University 2013-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2013/181/abstr.html