Nonlinear Potential Theory and Weighted Sobolev Spaces
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space the...
Gardado en:
| Autor Principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Series: | Lecture notes in mathematics
1736 |
| Sujets: | |
| Acceso en liña: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear potential theory and weighted Sobolev spaces, Bengt Ove Turesson, 2000, Berlin, Springer, 1 vol. (XIV-173 p.), Lecture notes in mathematics, 3-540-67588-4 • Nonlinear Potential Theory and Weighted Sobolev Spaces, Texte imprimé, 9783662165737 |
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| 009 | PPN155176722 | ||
| 020 | |a 9783540451686 (PDF) | ||
| 041 | 0 | |a eng | |
| 082 | |a 510 | ||
| 100 | 1 | |a Turesson, Bengt Ove, |d 1961- | |
| 245 | 1 | 0 | |a Nonlinear Potential Theory and Weighted Sobolev Spaces |c Bengt Ove Turesson. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1736 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Introduction -- Preliminaries: Notation and conventions. Basic results concerning weights -- Sobolev spaces: The Sobolev space | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory covers results concerning approximation, extension, and interpolation, Sobolev and Poincaré inequalities, Maz'ya type embedding theorems, and isoperimetric inequalities. In the chapter devoted to potential theory, several weighted capacities are investigated. Moreover, "Kellogg lemmas" are established for various concepts of thinness. Applications of potential theory to weighted Sobolev spaces include quasi continuity of Sobolev functions, Poincaré inequalities, and spectral synthesis theorems. | ||
| 650 | |a Théories non linéaires | ||
| 650 | |a Sobolev, Espaces de | ||
| 650 | |a Théorie du potentiel | ||
| 650 | |a Équations aux dérivées partielles | ||
| 650 | |a Mathématiques | ||
| 776 | 0 | |0 053604741 |t Nonlinear potential theory and weighted Sobolev spaces |f Bengt Ove Turesson |d 2000 |c Berlin |n Springer |p 1 vol. (XIV-173 p.) |s Lecture notes in mathematics |z 3-540-67588-4 | |
| 776 | 0 | |t Nonlinear Potential Theory and Weighted Sobolev Spaces |b Texte imprimé |z 9783662165737 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0103908 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-6V2KXG8M-J |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750672048 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/BFb0103908 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:754020770 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/BFb0103908 |z Accès INSA CVL | |
| 997 | |0 969624 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||