Concentration Compactness : Functional-analytic Grounds And Applications.
Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to varia...
Clasificación: | Libro Electrónico |
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Autor principal: | |
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Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Singapore :
World Scientific,
2007.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface; Contents; 1. Functional spaces and convergence; 2. Sobolev spaces; 3. Weak convergence decomposition; 4. Concentration compactness with Euclidean shifts; 5. Concentration compactness with dilations; 6. Minimax problems; 7 . Differentiable manifolds; 8 . Riemannian manifolds and Lie groups; 9 . Sobolev spaces on manifolds and subelliptic problems; 10 . Further applications; Appendix A Covering lemma; Appendix B Rearrangement inequalities; Appendix C Maximum principle; Bibliography; Index.