Article contents
Existence Theorems for a Class of Edge-Degenerate Elliptic Equations on Singular Manifolds
Published online by Cambridge University Press: 17 February 2015
Abstract
In this paper we establish the Nehari manifold on edge Sobolev spaces and study some of their properties. Furthermore, we use these results and the mountain pass theorem to get non-negative solutions of a class of edge-degenerate elliptic equations on singular manifolds under different conditions.
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Edinburgh Mathematical Society 2015
References
- 1
- Cited by