Variational methods for strongly indefinite problems /:
"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), Lipsch...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore ; Hackensack, NJ :
World Scientific,
©2007.
|
| Series: | Interdisciplinary mathematical sciences ;
v. 7. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | "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."--Jacket |
| Physical Description: | 1 online resource (viii, 168 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 161-166) and index. |
| ISBN: | 9789812709639 9812709630 |
Staff View
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| author | Ding, Yanheng |
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| contents | 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. |
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| indexdate | 2025-04-11T08:41:14Z |
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| isbn | 9789812709639 9812709630 |
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| series | Interdisciplinary mathematical sciences ; |
| series2 | Interdisciplinary mathematical sciences ; |
| spelling | Ding, Yanheng. Variational methods for strongly indefinite problems / Yanheng Ding. Singapore ; Hackensack, NJ : World Scientific, ©2007. 1 online resource (viii, 168 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Interdisciplinary mathematical sciences ; v. 7 Includes bibliographical references (pages 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."--Jacket Print version record. Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Diophantine equations. http://id.loc.gov/authorities/subjects/sh92001030 Calcul des variations. Équations diophantiennes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Diophantine equations fast Electronic books. has work: Variational methods for strongly indefinite problems (Text) https://id.oclc.org/worldcat/entity/E39PCGRRGFb9ctppmmDDrcJ6mm https://id.oclc.org/worldcat/ontology/hasWork Print version: Ding, Yanheng. Variational methods for strongly indefinite problems. Singapore ; Hackensack, NJ : World Scientific, ©2007 9789812709622 (DLC) 2008295002 (OCoLC)166390736 Interdisciplinary mathematical sciences ; v. 7. http://id.loc.gov/authorities/names/n2004018211 |
| spellingShingle | Ding, Yanheng Variational methods for strongly indefinite problems / Interdisciplinary mathematical sciences ; 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. Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Diophantine equations. http://id.loc.gov/authorities/subjects/sh92001030 Calcul des variations. Équations diophantiennes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Diophantine equations fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85018809 http://id.loc.gov/authorities/subjects/sh92001030 |
| 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 | Calculus of variations. http://id.loc.gov/authorities/subjects/sh85018809 Diophantine equations. http://id.loc.gov/authorities/subjects/sh92001030 Calcul des variations. Équations diophantiennes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Calculus of variations fast Diophantine equations fast |
| topic_facet | Calculus of variations. Diophantine equations. Calcul des variations. Équations diophantiennes. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Calculus of variations Diophantine equations Electronic books. |
| work_keys_str_mv | AT dingyanheng variationalmethodsforstronglyindefiniteproblems |