Local and global aspects of quasilinear degenerate elliptic equations: quasilinear elliptic singular problems
"This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of iso...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publishing Co. Pte Ltd.
© 2017
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| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | "This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed. When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity."--Publisher's website |
| Beschreibung: | Title from PDF title page (viewed July 27, 2017) |
| Beschreibung: | 1 online resource (474 p.) |
| ISBN: | 9789814730334 |
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Datensatz im Suchindex
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| author | Véron, Laurent |
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044640843 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:58Z |
| institution | BVB |
| isbn | 9789814730334 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030038815 |
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| physical | 1 online resource (474 p.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | World Scientific Publishing Co. Pte Ltd. |
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| spelling | Véron, Laurent Verfasser aut Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems by Laurent Véron Singapore World Scientific Publishing Co. Pte Ltd. © 2017 1 online resource (474 p.) txt rdacontent c rdamedia cr rdacarrier Title from PDF title page (viewed July 27, 2017) "This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term. Emphasis is put on three aspects: The existence of separable singular solutions enables the description of isolated singularities of general solutions. The construction of singular solutions is delicate and cannot be done without the understanding of the spherical p-harmonic eigenvalue problem. When the equations are considered on a Riemannian manifold, existence or non-existence of solutions depends on geometric assumptions such as the curvature. A priori estimates and Liouville type problems are analyzed. When the equations are considered with a forcing term in the class of measures, their study is strongly linked to the properties of a class of potentials appearing in harmonic analysis such as the Riesz, the Bessel or the Wolff potentials and to their associated capacities. Necessary and sufficient conditions for existence of solutions link the continuity of the measure with respect to some appropriate capacity."--Publisher's website Differential equations, Elliptic Differential equations, Parabolic Quasilinearization Eigenvalues Electronic books Entartung Mathematik (DE-588)4281807-2 gnd rswk-swf Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd rswk-swf Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 s Entartung Mathematik (DE-588)4281807-2 s 1\p DE-604 http://www.worldscientific.com/worldscibooks/10.1142/9850#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Véron, Laurent Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems Differential equations, Elliptic Differential equations, Parabolic Quasilinearization Eigenvalues Electronic books Entartung Mathematik (DE-588)4281807-2 gnd Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd |
| subject_GND | (DE-588)4281807-2 (DE-588)4431553-3 |
| title | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems |
| title_auth | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems |
| title_exact_search | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems |
| title_full | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems by Laurent Véron |
| title_fullStr | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems by Laurent Véron |
| title_full_unstemmed | Local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems by Laurent Véron |
| title_short | Local and global aspects of quasilinear degenerate elliptic equations |
| title_sort | local and global aspects of quasilinear degenerate elliptic equations quasilinear elliptic singular problems |
| title_sub | quasilinear elliptic singular problems |
| topic | Differential equations, Elliptic Differential equations, Parabolic Quasilinearization Eigenvalues Electronic books Entartung Mathematik (DE-588)4281807-2 gnd Quasilineare elliptische Differentialgleichung (DE-588)4431553-3 gnd |
| topic_facet | Differential equations, Elliptic Differential equations, Parabolic Quasilinearization Eigenvalues Electronic books Entartung Mathematik Quasilineare elliptische Differentialgleichung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9850#t=toc |
| work_keys_str_mv | AT veronlaurent localandglobalaspectsofquasilineardegenerateellipticequationsquasilinearellipticsingularproblems |