Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces
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| 024 | 7 | 0 | |a 10.1007/s10231-013-0382-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-013-0382-2 | ||
| 245 | 0 | 0 | |a Riesz and Wolff potentials and elliptic equations in variable exponent weak Lebesgue spaces |h [Elektronische Daten] |c [A. Almeida, P. Harjulehto, P. Hästö, T. Lukkari] |
| 520 | 3 | |a 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. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2013 | ||
| 690 | 7 | |a Variable exponent |2 nationallicence | |
| 690 | 7 | |a Weak Lebesgue space |2 nationallicence | |
| 690 | 7 | |a Real interpolation |2 nationallicence | |
| 690 | 7 | |a Riesz potential |2 nationallicence | |
| 690 | 7 | |a Wolff potential |2 nationallicence | |
| 690 | 7 | |a Non-standard growth condition |2 nationallicence | |
| 690 | 7 | |a Integrability of solutions |2 nationallicence | |
| 690 | 7 | |a Integrability estimates |2 nationallicence | |
| 700 | 1 | |a Almeida |D A. |u Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, 3810-193, Aveiro, Portugal |4 aut | |
| 700 | 1 | |a Harjulehto |D P. |u Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland |4 aut | |
| 700 | 1 | |a Hästö |D P. |u Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland |4 aut | |
| 700 | 1 | |a Lukkari |D T. |u Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014, Jyväskylä, Finland |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/2(2015-04-01), 405-424 |x 0373-3114 |q 194:2<405 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-013-0382-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-013-0382-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Almeida |D A. |u Department of Mathematics, Center for Research and Development in Mathematics and Applications, University of Aveiro, 3810-193, Aveiro, Portugal |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Harjulehto |D P. |u Department of Mathematics and Statistics, University of Turku, 20014, Turku, Finland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hästö |D P. |u Department of Mathematical Sciences, University of Oulu, P.O. Box 3000, 90014, Oulu, Finland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lukkari |D T. |u Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35 (MaD), 40014, Jyväskylä, Finland |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/2(2015-04-01), 405-424 |x 0373-3114 |q 194:2<405 |1 2015 |2 194 |o 10231 | ||