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<sup>q</sup> spaces, with q > p.
A global regularity result for some degenerate elliptic systems
TARSIA, ANTONIO
2015-01-01
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 Lq spaces, with q > p.File in questo prodotto:
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