| Description |
1 online resource |
| Series |
Trends in mathematics |
|
Trends in mathematics.
|
| 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 |
| 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 |
| Analysis |
wiskunde |
|
mathematics |
|
partial differential equations |
|
functionaalanalyse |
|
functional analysis |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Notes |
Print version record |
| Subject |
Differential equations, Partial -- Congresses
|
|
Embeddings (Mathematics) -- Congresses
|
|
Ecuaciones en derivadas parciales -- Congresos
|
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Differential equations, Partial
|
|
Embeddings (Mathematics)
|
| Genre/Form |
proceedings (reports)
|
|
Conference papers and proceedings
|
|
Conference papers and proceedings.
|
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Actes de congrès.
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| Form |
Electronic book
|
| Author |
Adimurthi, editor
|
|
Sandeep, K., editor
|
|
Schindler, Ian, editor
|
|
Tintarev, Kyril, editor
|
|
School and Workshop on Cocompact Imbeddings, Profile Decompositions, and Their Applicatons to PDE (2012 : Bangalore, India)
|
| ISBN |
9783034803731 |
|
3034803737 |
|
