Faber-Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach
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| 001 | 605516049 | ||
| 003 | CHVBK | ||
| 005 | 20210128100712.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151101xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0872-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0872-z | ||
| 245 | 0 | 0 | |a Faber-Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach |h [Elektronische Daten] |c [Dorin Bucur, Alessandro Giacomini] |
| 520 | 3 | |a Isoperimetric inequalities for the principal eigenvalues of the Robin-Laplacian are interpreted as free discontinuity problems (of unusual type). We prove a full range of Faber-Krahn inequalities in a nonlinear setting and for non smooth domains, including the open case of the torsional rigidity. The key point of the analysis relies on regularity issues for free discontinuity problems in spaces of functions of bounded variation. As a byproduct, we obtain the best constants for a class of Poincaré inequalities with trace terms in $${\mathbb{R}^N}$$ R N . | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Bucur |D Dorin |u Laboratoire de Mathématiques, CNRS UMR 5127 Université de Savoie, Campus Scientifique, 73376, Le-Bourget-du-Lac, France |4 aut | |
| 700 | 1 | |a Giacomini |D Alessandro |u DICATAM, Sezione di Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/2(2015-11-01), 757-824 |x 0003-9527 |q 218:2<757 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0872-z |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/s00205-015-0872-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bucur |D Dorin |u Laboratoire de Mathématiques, CNRS UMR 5127 Université de Savoie, Campus Scientifique, 73376, Le-Bourget-du-Lac, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Giacomini |D Alessandro |u DICATAM, Sezione di Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/2(2015-11-01), 757-824 |x 0003-9527 |q 218:2<757 |1 2015 |2 218 |o 205 | ||