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by Yanheng Ding

  • ISBN: 9812709622
  • Category: Math & Science
  • Author: Yanheng Ding
  • Subcategory: Mathematics
  • Other formats: mbr lrf mobi rtf
  • Language: English
  • Publisher: World Scientific Pub Co Inc (August 15, 2007)
  • Pages: 168 pages
  • FB2 size: 1464 kb
  • EPUB size: 1547 kb
  • Rating: 4.9
  • Votes: 951
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Download books for free. 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 of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces.

Under suitable assumptions, we prove the existence of ground state solutions via variational methods for strongly indefinite problems. On Hamiltonian elliptic systems with periodic or non-periodic potentials.

Дата издания: 13/09/2007 Серия: Interdisciplinary mathematical sciences Язык: ENG Размер .

Ding, . Variational Methods for Strongly Indefinite Problems, Interdisciplinary Mathematical Sciences, vol. 7. World . Pankov, . Zakharchenko, . On some discrete variational problems. World Scientific, Hackensack (2007). 11. Eilbeck, . Lomdhal, . Scott, . The discrete self-trapping equation. Physica D 16, 318–338 (1985).

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 of flow of ODE on gage spaces, the book presents for the first time a deformation theory in locally convex topological vector spaces.

Variational Methods For Strongly Indefinite Problems. Publisher: World Scientific.

Key Features:Gives new critical point theoremsEstablishes variational settings for homoclinics in Hamiltonian systems, for standing waves of Schrödinger equations, for localized solutions of Dirac equations, and for .

Key Features:Gives new critical point theoremsEstablishes variational settings for homoclinics in Hamiltonian systems, for standing waves of Schrödinger equations, for localized solutions of Dirac equations, and for global solutions of diffusion systems. Saved in: Bibliographic Details. Main Author: Ding, Yanheng. Published: Singapore : World Scientific Publishing Co Pte Ltd, 2007.

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). With the original ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipsch. Saved in: Main Author: Ding, Yanheng. Other Authors: EBSCO Publishing (Firm).

Ding, Variational Methods for Strongly Indefinite Problems, Interdisciplinary Mathematical Sciences 7, World Scientific, Singapore, 2007. Digital Object Identifier: doi:10. 1142/9789812709639 Zentralblatt MATH: 1133. Y. Ding and C. Lee, Multiple solutions of Schrödinger equations with indefinite linear part and super or asymptotically linear terms, J. Differential Equations 222 (2006), no. 1, 137–163. Guo and Z. Tang, Multi-bump solutions for Schrödinger equation involving critical growth and potential wells, Discrete Contin.

This unique book focuses on critical point theory for strongly indefinite functionals in order to deal with nonlinear variational problems in areas such as physics, mechanics and economics. 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, the book presents for the first time a deformation theory in locally convex topological vector spaces. It also offers satisfying variational settings for homoclinic-type solutions to Hamiltonian systems, Schrödinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods used open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas. The analytical framework can be used to handle more infinite-dimensional Hamiltonian systems.

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