Electron. J. Diff. Equ., Vol. 2012 (2012), No. 134, pp. 1-5.

Bounds and compactness for solutions of second-order elliptic equations

Carlos C. Aranda

Abstract:
In this article, we establish some connections between Sobolev spaces and nonlinear singular elliptic problems, to obtain bounds and compactness results for solutions of second-order elliptic equations.

Submitted July 25, 2012. Published August 17, 2012.
Math Subject Classifications: 35J25, 35J60, 35J75.
Key Words: Elliptic equations; compact imbedding; Schauder approach.

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Carlos Cesar Aranda
Blue Angel Navire Research laboratory
Rue Eddy 113 Gatineau QC, Canada
email: carloscesar.aranda@gmail.com

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