Veronica Felli, Matthias Schneider
Published 2003-06-25, updated 2003-06-26Version 2
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.
A note on regularity of solutions to degenerate elliptic equations of Caffarelli-Kohn-Nirenberg type
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