Concentration analysis and applications to PDE ICTS Workshop, Bangalore, January 2012 Adimurthi, K. Sandeep, Ian Schindler, Kyril Tintarev, editors

Format:

Book

Conference/Event

Contributor:

Adimurthi, editor.

Sandeep, K., editor.

Schindler, Ian, editor.

Tintarev, Kyril, editor.

Conference Name:

School and Workshop on Cocompact Imbeddings, Profile Decompositions, and Their Applicatons to PDE (2012 : Bangalore, India)

Series:

Trends in mathematics

Language:

English

Subjects (All):

Differential equations, Partial--Congresses.

Differential equations, Partial.

Embeddings (Mathematics)--Congresses.

Embeddings (Mathematics).

Genre:

proceedings (reports)

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

Basel Birkhäuser 2013

System Details:

text file

PDF

Summary:

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 analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class of invariances than the original Euclidean rescalings and has a broad scope of applications to PDE. The book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications to elliptic and evolution PDEs, as well as a systematic functional-analytic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings

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 LyapunovSchmidt Reduction for Some Critical Problems

A General Theorem for the Construction of Blowing-up Solutions to Some Elliptic Nonlinear Equations via LyapunovSchmidts Finite-dimensional Reduction

Concentration Analysis and Cocompactness

A Note on Non-radial Sign-changing Solutions for the SchrdingerPoisson Problem in the Semiclassical Limit

Notes:

Print version record

Other Format:

Print version Cocompact imbeddings, profile decompositions and their applications to PDE

ISBN:

9783034803731

3034803737

OCLC:

864444117

Access Restriction:

Restricted for use by site license