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

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

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.

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