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

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.

Bibliographic Details
Main Author: Almeida, Alexandre (author)
Other Authors: Harjulehto, P. (author), Hästö, P. (author), Lukkari, T. (author)
Format: article
Language:eng
Published: 2015
Subjects:
Variable exponent
Weak Lebesgue space
Real interpolation
Riesz potential
Wolff potential
Non-standard growth condition
Integrability of solutions
Integrability estimates
Online Access:http://hdl.handle.net/10773/14884
Country:Portugal
Oai:oai:ria.ua.pt:10773/14884

Internet

http://hdl.handle.net/10773/14884

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