Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Abstract
We prove optimal integrability results for solutions of the
p(·)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain
this, we show that variable exponent Riesz and Wolff potentials map L
1
to variable exponent weak Lebesgue spaces.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Springer
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201509022787Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0373-3114
DOI
https://doi.org/10.1007/s10231-013-0382-2
Language
English
Published in
Annali di Matematica Pura ed Applicata
Citation
- Almeida, A., Harjulehto, P., Hästö, P., & Lukkari, T. (2015). Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Annali di Matematica Pura ed Applicata, 94(2), 405-424. https://doi.org/10.1007/s10231-013-0382-2
License
Copyright© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2013. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.