Compactness and existence results for degenerate critical elliptic equations

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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.
34 pages

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Analysis of PDEs, 35J70, 35B33, 35B45

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http://salesiana.dossiersoluciones.com/handle/123456789/67878

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306363
 http://arxiv.org/abs/math/0306363

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arXiv