Compactness and existence results for degenerate critical elliptic equations
Analysis of PDEs
2007-05-23 v2
Abstract
This paper is devoted to the study of degenerate critical elliptic equations of Caffarelli-Kohn-Nirenberg type. By means of blow-up analysis techniques, we prove an a-priori estimate in a weighted space of continuous functions. From this compactness result, the existence of a solution to our problem is proved by exploiting the homotopy invariance of the Leray-Schauder degree.
Keywords
Cite
@article{arxiv.math/0306363,
title = {Compactness and existence results for degenerate critical elliptic equations},
author = {Veronica Felli and Matthias Schneider},
journal= {arXiv preprint arXiv:math/0306363},
year = {2007}
}
Comments
34 pages