caa a22 4500 605496633 CHVBK 20210128100537.0 cr unu---uuuuu 210128e20150401xx s 000 0 eng 10.1007/s10231-013-0382-2 doi (NATIONALLICENCE)springer-10.1007/s10231-013-0382-2 Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces [Elektronische Daten] [A. Almeida, P. Harjulehto, P. Hästö, T. Lukkari] We prove optimal integrability results for solutions of the $${p(\cdot )}$$ p ( · ) -Laplace equation in the scale of (weak) Lebesgue spaces. To obtain this, we show that variable exponent Riesz and Wolff potentials map $$L^1$$ L 1 to variable exponent weak Lebesgue spaces. Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 Variable exponent nationallicence Weak Lebesgue space nationallicence Real interpolation nationallicence Riesz potential nationallicence Wolff potential nationallicence Non-standard growth condition nationallicence Integrability of solutions nationallicence Integrability estimates nationallicence Almeida A. Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, 3810-193, Aveiro, Portugal aut Harjulehto P. Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland aut Hästö P. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland aut Lukkari T. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014, Jyväskylä, Finland aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 405-424 0373-3114 194:2<405 2015 194 10231 https://doi.org/10.1007/s10231-013-0382-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-013-0382-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Almeida A. Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, 3810-193, Aveiro, Portugal aut NATIONALLICENCE 700 1- Harjulehto P. Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland aut NATIONALLICENCE 700 1- Hästö P. Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland aut NATIONALLICENCE 700 1- Lukkari T. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014, Jyväskylä, Finland aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/2(2015-04-01), 405-424 0373-3114 194:2<405 2015 194 10231