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.

Detalhes bibliográficos
Autor principal: Almeida, Alexandre (author)
Outros Autores: Harjulehto, P. (author), Hästö, P. (author), Lukkari, T. (author)
Formato: article
Idioma:eng
Publicado em: 2015
Assuntos:
Variable exponent
Weak Lebesgue space
Real interpolation
Riesz potential
Wolff potential
Non-standard growth condition
Integrability of solutions
Integrability estimates
Texto completo:http://hdl.handle.net/10773/14884
País:Portugal
Oai:oai:ria.ua.pt:10773/14884

Texto Completo

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

Registos relacionados