Concentration Analysis and Applications to PDE ICTS Workshop, Bangalore, January 2012 /

Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since the introduction of concentration compactness in the 1980s, concentration a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Adimurthi (Editor ), Sandeep, K. (Editor ), Schindler, Ian (Editor ), Tintarev, Cyril (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Colección:Trends in Mathematics,
Temas:
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Functional analysis.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Functional Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding
  • A Class of Second-order Dilation Invariant Inequalities
  • Blow-up Solutions for Linear Perturbations of the Yamabe Equation
  • Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space
  • The Lyapunov-Schmidt Reduction for Some Critical Problems
  • A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via Lyapunov-Schmidt's Finite-dimensional Reduction
  • Concentration Analysis and Cocompactness
  • A Note on Non-radial Sign-changing Solutions for the Schrödinger-Poisson Problem in the Semiclassical Limit.

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