Variational methods for strongly indefinite problems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
c2007
|
| Series: | Interdisciplinary mathematical sciences
v. 7 |
| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references (p. 161-166) and index Lipschitz partitions of unity -- Deformations on locally convex topological vector spaces -- Critical point theorems -- Homoclinics in Hamiltonian systems -- Standing waves of nonlinear Schrödinger equations -- Solutions of nonlinear Dirac equations -- Solutions of a system of diffusion equations "This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then offers satisfying variational settings for homoclinic type solutions to Hamiltonian systems, Schrodinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems."--BOOK JACKET. |
| Physical Description: | 1 Online-Ressource (viii, 168 p.) |
| ISBN: | 9789812709622 9789812709639 9812709622 9812709630 |
Staff View
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| 490 | 0 | |a Interdisciplinary mathematical sciences |v v. 7 | |
| 500 | |a Includes bibliographical references (p. 161-166) and index | ||
| 500 | |a Lipschitz partitions of unity -- Deformations on locally convex topological vector spaces -- Critical point theorems -- Homoclinics in Hamiltonian systems -- Standing waves of nonlinear Schrödinger equations -- Solutions of nonlinear Dirac equations -- Solutions of a system of diffusion equations | ||
| 500 | |a "This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then offers satisfying variational settings for homoclinic type solutions to Hamiltonian systems, Schrodinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems."--BOOK JACKET. | ||
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| author | Ding, Yanheng |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
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| id | DE-604.BV043105735 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:35Z |
| institution | BVB |
| isbn | 9789812709622 9789812709639 9812709622 9812709630 |
| language | English |
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| physical | 1 Online-Ressource (viii, 168 p.) |
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| publishDate | 2007 |
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| publisher | World Scientific |
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| series2 | Interdisciplinary mathematical sciences |
| spelling | Ding, Yanheng Verfasser aut Variational methods for strongly indefinite problems Yanheng Ding Singapore World Scientific c2007 1 Online-Ressource (viii, 168 p.) txt rdacontent c rdamedia cr rdacarrier Interdisciplinary mathematical sciences v. 7 Includes bibliographical references (p. 161-166) and index Lipschitz partitions of unity -- Deformations on locally convex topological vector spaces -- Critical point theorems -- Homoclinics in Hamiltonian systems -- Standing waves of nonlinear Schrödinger equations -- Solutions of nonlinear Dirac equations -- Solutions of a system of diffusion equations "This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then offers satisfying variational settings for homoclinic type solutions to Hamiltonian systems, Schrodinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems."--BOOK JACKET. MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus of variations Diophantine equations Funktional (DE-588)4155667-7 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Kritischer Punkt (DE-588)4140476-2 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 s Kritischer Punkt (DE-588)4140476-2 s Funktional (DE-588)4155667-7 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=518646 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ding, Yanheng Variational methods for strongly indefinite problems MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus of variations Diophantine equations Funktional (DE-588)4155667-7 gnd Variationsrechnung (DE-588)4062355-5 gnd Kritischer Punkt (DE-588)4140476-2 gnd |
| subject_GND | (DE-588)4155667-7 (DE-588)4062355-5 (DE-588)4140476-2 |
| title | Variational methods for strongly indefinite problems |
| title_auth | Variational methods for strongly indefinite problems |
| title_exact_search | Variational methods for strongly indefinite problems |
| title_full | Variational methods for strongly indefinite problems Yanheng Ding |
| title_fullStr | Variational methods for strongly indefinite problems Yanheng Ding |
| title_full_unstemmed | Variational methods for strongly indefinite problems Yanheng Ding |
| title_short | Variational methods for strongly indefinite problems |
| title_sort | variational methods for strongly indefinite problems |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus of variations Diophantine equations Funktional (DE-588)4155667-7 gnd Variationsrechnung (DE-588)4062355-5 gnd Kritischer Punkt (DE-588)4140476-2 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Calculus of variations Diophantine equations Funktional Variationsrechnung Kritischer Punkt |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=518646 |
| work_keys_str_mv | AT dingyanheng variationalmethodsforstronglyindefiniteproblems |