Differential and Integral Equations

Pointwise estimates for $G\Gamma$-functions and applications

Alberto Fiorenza, Maria Rosaria Formica, and Jean Michel Rakotoson

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

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.

Article information

Source
Differential Integral Equations, Volume 30, Number 11/12 (2017), 809-824.

Dates
First available in Project Euclid: 1 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.die/1504231274

Mathematical Reviews number (MathSciNet)
MR3693986

Zentralblatt MATH identifier
06819579

Subjects
Primary: 35J25, 35B65, 46E30, 46E35

Citation

Fiorenza, Alberto; Formica, Maria Rosaria; Rakotoson, Jean Michel. Pointwise estimates for $G\Gamma$-functions and applications. Differential Integral Equations 30 (2017), no. 11/12, 809--824. https://projecteuclid.org/euclid.die/1504231274


Export citation