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Title: Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Author: Almeida, Alexandre
Harjulehto, P.
Hästö, P.
Lukkari, T.
Keywords: Variable exponent
Weak Lebesgue space
Real interpolation
Riesz potential
Wolff potential
Non-standard growth condition
Integrability of solutions
Integrability estimates
Issue Date: Apr-2015
Publisher: Springer
Abstract: We prove optimal integrability results for solutions of the p(x)-Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map L1 to variable exponent weak Lebesgue spaces.
Peer review: yes
DOI: 10.1007/s10231-013-0382-2
ISSN: 0373-3114
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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