Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
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 maps L1 to variable exponent weak Lebesgue spaces.
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