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Compactness and existence results for degenerate critical elliptic equations

Veronica Felli·Matthias Schneider
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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.

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Veronica Felli, Matthias Schneider. 2003-06-26. Compactness and existence results for degenerate critical elliptic equations. https://arxiv.org/abs/math/0306363

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