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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Bibliographic Details
Call Number:Libro Electrónico
Corporate Author: SpringerLink (Online service)
Other Authors: Adimurthi (Editor), Sandeep, K. (Editor), Schindler, Ian (Editor), Tintarev, Cyril (Editor)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edition:1st ed. 2013.
Series:Trends in Mathematics,
Subjects:
Differential equations.
Global analysis (Mathematics).
Manifolds (Mathematics).
Functional analysis.
Differential Equations.
Global Analysis and Analysis on Manifolds.
Functional Analysis.
Online Access:Texto Completo
Table of Contents:
  • 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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