Localization Approaches in Strongly Indefinite Problems

Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that...

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Hlavní autoři: Ding, Yanheng (Autor), Xu, Tian (Autor)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Singapore : Springer Nature Singapore : Imprint: Springer, 2025.
Vydání:1st ed. 2025.
Edice:Series in Contemporary Mathematics, 6
Témata:
On-line přístup:https://doi.org/10.1007/978-981-97-9539-0
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Obsah:
  • Chapter 1. Variational Problems —– A Brief Retrospective
  • Chapter 2. Strongly Indefinite Problems —– Examples and Motivations
  • Chapter 3. Localized Energy Estimates for Strongly Indefinite Functionals
  • Chapter 4. Semiclassical Standing Waves of Nonlinear Dirac Equations
  • Chapter 5. Effect of External Potentials in a Coupled System Reaction-Diffusion
  • Chapter 6. The Spinorial Brezis-Nirenberg Problem
  • Chapter 7. Isometrically Embedded Sphere with Prescribed Mean Curvature
  • Chapter 8. Further Problems with Strongly Indefinite Structures.