Some regularity results in small Lebesgue spaces for the weak or the very weak solution of the linear equation -Δu = f are given, improving all the previous results obtained in the usual Lebesgue spaces. Some of our results have been derived using borderline Sobolev embeddings related to the Grand Lebesgue spaces. So, we provide new Sobolev inclusions using the Generalized Gamma spaces and generalizing the Fusco-Lions-Sbordone results.

Pointwise estimates for gT-functions and applications

FORMICA, MARIA ROSARIA;
2017

Abstract

Some regularity results in small Lebesgue spaces for the weak or the very weak solution of the linear equation -Δu = f are given, improving all the previous results obtained in the usual Lebesgue spaces. Some of our results have been derived using borderline Sobolev embeddings related to the Grand Lebesgue spaces. So, we provide new Sobolev inclusions using the Generalized Gamma spaces and generalizing the Fusco-Lions-Sbordone results.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11367/63161
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