Weak Covergence Methods for Semilinear Elliptic Equations - Couverture rigide

Chabrowski, Jan

Couverture rigide

ISBN 10 : 9810240767 ISBN 13 : 9789810240769

Editeur : World Scientific Publishing Co Pte Ltd, 1999

Synopsis

This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains with nonlinearities involving the subcritical Sobolev exponent. The variational problems investigated in the book originate in many branches of applied science. A typical example is the nonlinear Schrödinger equation which appears in mathematical modeling phenomena arising in nonlinear optics and plasma physics. Solutions to these problems are found as critical points of variational functionals. The main difficulty in examining the compactness of Palais-Smale sequences arises from the fact that the Sobolev compact embedding theorems are no longer true on unbounded domains. In this book we develop the concentration-compactness principle at infinity, which is used to obtain the relative compactness of minimizing sequences. This tool, combined with some basic methods from the Lusternik-Schnirelman theory of critical points, is to investigate the existence of positive, symmetric and nodal solutions. The book also emphasizes the effect of the graph topology of coefficients on the existence of multiple solutions.

Détails de l'édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 1999
• Langue: anglais
• ISBN 10: 9810240767
• ISBN 13: 9789810240769
• Reliure: Relié
• Nombre de pages: 248
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible