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



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

Publisher: SPRINGER HEIDELBERG

: 2015

: Annali di Matematica Pura ed Applicata

: ANNALI DI MATEMATICA PURA ED APPLICATA

: ANN MAT PUR APPL

: 194

: 2

: 405

: 424

: 20

: 0373-3114

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


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.




Last updated on 2024-26-11 at 23:22