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arXiv · 1211.1495

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

Alexandre Almeida·Petteri Harjulehto·Peter Hästö·Teemu Lukkari
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Abstract

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.

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Alexandre Almeida, Petteri Harjulehto, Peter Hästö, Teemu Lukkari. 2013-10-23. Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. https://arxiv.org/abs/1211.1495

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