Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Functional Analysis
2013-10-24 v2 Analysis of PDEs
Abstract
We prove optimal integrability results for solutions of the -Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials maps to variable exponent weak Lebesgue spaces.
Cite
@article{arxiv.1211.1495,
title = {Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces},
author = {Alexandre Almeida and Petteri Harjulehto and Peter Hästö and Teemu Lukkari},
journal= {arXiv preprint arXiv:1211.1495},
year = {2013}
}