Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces - UTU Research Portal

A1 Refereed original research article in a scientific journal

Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces

Authors: A. Almeida, P. Harjulehto, P. Hästö, T. Lukkari

Publisher: SPRINGER HEIDELBERG

Publication year: 2015

Journal: Annali di Matematica Pura ed Applicata

Journal name in source: ANNALI DI MATEMATICA PURA ED APPLICATA

Journal acronym: ANN MAT PUR APPL

Volume: 194

Issue: 2

First page : 405

Last page: 424

Number of pages: 20

ISSN: 0373-3114

DOI: https://doi.org/10.1007/s10231-013-0382-2

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.