Compactness and existence results for degenerate critical elliptic equations

Details Compactness and existence results for degenerate critical elliptic equations Compactness and existence results for degenerate critical elliptic equations

2003-06-25

arxiv.org/abs/math/0306363v2

Mathematics

Analysis of PDEs

34 pages

Scientific paper

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.

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