Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
Almeida, A., Harjulehto, P., Hästö, P., & Lukkari, T. (2015). Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces. Annali di Matematica Pura ed Applicata, 94(2), 405-424. https://doi.org/10.1007/s10231-013-0382-2
Julkaistu sarjassa
Annali di Matematica Pura ed ApplicataPäivämäärä
2015Tekijänoikeudet
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg 2013. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.
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.
Julkaisija
SpringerISSN Hae Julkaisufoorumista
0373-3114Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/23885343