Perturbation Methods and Semilinear Elliptic Problems on R^n: Progress in Mathematics, cartea 240
Autor Antonio Ambrosetti, Andrea Malchiodien Limba Engleză Hardback – 18 noi 2005
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Specificații
ISBN-13: 9783764373214
ISBN-10: 3764373210
Pagini: 192
Ilustrații: XII, 184 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.46 kg
Ediția:2006
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Basel, Switzerland
ISBN-10: 3764373210
Pagini: 192
Ilustrații: XII, 184 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.46 kg
Ediția:2006
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Mathematics
Locul publicării:Basel, Switzerland
Public țintă
ResearchCuprins
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.
Textul de pe ultima copertă
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.
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.
Caracteristici
Winner of the Ferran Sunyer i Balaguer Prize 2005 Discussion of the abstract tool of perturbation methods in critical point theory in a form not contained in any other book Treatment of various applications often considered different in nature Includes supplementary material: sn.pub/extras