Perturbation Methods and Semilinear Elliptic Problems on R^n

The aim of this monograph is to discuss several elliptic problems on Rn with two main features: they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness arguments cannot be used in general. For these problems, a more specific approach that takes...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ambrosetti, Antonio (Autor), Malchiodi, Andrea (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Colección:Progress in Mathematics, 240
Temas:
Numerical analysis.
Differential equations.
Functional analysis.
Numerical Analysis.
Differential Equations.
Functional Analysis.
Acceso en línea:Texto Completo

MARC

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100 1 |a Ambrosetti, Antonio.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Perturbation Methods and Semilinear Elliptic Problems on R^n  |h [electronic resource] /  |c by Antonio Ambrosetti, Andrea Malchiodi. 
250 |a 1st ed. 2006. 
264 1 |a Basel :  |b Birkhäuser Basel :  |b Imprint: Birkhäuser,  |c 2006. 
300 |a XII, 184 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Progress in Mathematics,  |x 2296-505X ;  |v 240 
505 0 |a Examples and Motivations -- Pertubation in Critical Point Theory -- Bifurcation from the Essential Spectrum -- Elliptic Problems on ?n with Subcritical Growth -- Elliptic Problems with Critical Exponent -- The Yamabe Problem -- Other Problems in Conformal Geometry -- Nonlinear Schrödinger Equations -- Singularly Perturbed Neumann Problems -- Concentration at Spheres for Radial Problems. 
520 |a The aim of this monograph is to discuss several elliptic problems on Rn with two main features: they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness arguments cannot be used in general. For these problems, a more specific approach that takes advantage of such a perturbative setting seems to be the most appropriate. The first part of the book is devoted to these abstract tools, which provide a unified frame for several applications, often considered different in nature. Such applications are discussed in the second part, and include semilinear elliptic problems on Rn, bifurcation from the essential spectrum, the prescribed scalar curvature problem, nonlinear Schrödinger equations, and singularly perturbed elliptic problems in domains. These topics are presented in a systematic and unified way. 
650 0 |a Numerical analysis. 
650 0 |a Differential equations. 
650 0 |a Functional analysis. 
650 1 4 |a Numerical Analysis. 
650 2 4 |a Differential Equations. 
650 2 4 |a Functional Analysis. 
700 1 |a Malchiodi, Andrea.  |e author.  |0 (orcid)0000-0001-5029-122X  |1 https://orcid.org/0000-0001-5029-122X  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783764390860 
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830 0 |a Progress in Mathematics,  |x 2296-505X ;  |v 240 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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