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

We prove optimal integrability results for solutions of the $p\cdot$-Laplace equation in the scale of weak Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials maps $L^1$ to variable exponent weak Lebesgue spaces.

Author: Alexandre Almeida; Petteri Harjulehto; Peter Hästö; Teemu Lukkari

Source: https://archive.org/