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November/December 2017 Pointwise estimates for $G\Gamma$-functions and applications
Alberto Fiorenza, Maria Rosaria Formica, Jean Michel Rakotoson
Differential Integral Equations 30(11/12): 809-824 (November/December 2017).

Abstract

Some regularity results in small Lebesgue spaces for the weak or the very weak solution of the linear equation $-\Delta u = f$ 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.

Citation

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Alberto Fiorenza. Maria Rosaria Formica. Jean Michel Rakotoson. "Pointwise estimates for $G\Gamma$-functions and applications." Differential Integral Equations 30 (11/12) 809 - 824, November/December 2017.

Information

Published: November/December 2017
First available in Project Euclid: 1 September 2017

zbMATH: 06819579
MathSciNet: MR3693986

Subjects:

Rights: Copyright © 2017 Khayyam Publishing, Inc.

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Vol.30 • No. 11/12 • November/December 2017
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