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

• Corporate Author: SpringerLink (Online service)
• Other Authors: Adimurthi, (Editor), Sandeep, K. (Editor), Schindler, Ian (Editor), Tintarev, Cyril (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Series: Trends in Mathematics
• Subjects: Mathematics.; Functional analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Partial Differential Equations.; Global Analysis and Analysis on Manifolds.; Functional Analysis.

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...

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.