Compactness and existence results for degenerate critical elliptic equations

2003/06/25 by Veronica Felli, Matthias Schneider, Felli, Veronica +1
Mathematics · #35B33 #35B45 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B33 #msc:35B45 #msc:35J70

paper · pdf · doi:10.48550/arxiv.math/0306363

34 pages

arxiv created 2003/06/26 · arxiv updated 2009/11/30

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.

Related

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