We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of p-Laplacian type. As a direct consequence, exploiting classical Campanato's approach and the hole-filling technique due to Widman, we are able to prove a global regularity result on Morrey's and L-q spaces, with q > p.

A global regularity result for some degenerate elliptic systems

Molica Bisci G
;
2015

Abstract

We establish a Caccioppoli-type inequality for a second-order degenerate elliptic systems of p-Laplacian type. As a direct consequence, exploiting classical Campanato's approach and the hole-filling technique due to Widman, we are able to prove a global regularity result on Morrey's and L-q spaces, with q > p.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11576/2664289
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