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Author : Fawaz Kharhan Alalhareth
Publisher :
Page : 45 pages
File Size : 23,70 MB
Release : 2017
Category : Differential equations, Elliptic
ISBN :
Author : Ilya A. Kuzin
Publisher : Birkhäuser
Page : 254 pages
File Size : 45,56 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3034892500
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations. Readers of this exposition will be advanced students and researchers in mathematics, physics and other.
Author : Ilya Kuzin
Publisher : Birkhauser
Page : 266 pages
File Size : 30,30 MB
Release : 1997
Category : Mathematics
ISBN :
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities for the description of sharp estimates for radial solutions and the fibring method. Existence results for equations with supercritical growth and non-zero right-hand sides are given.Readers of this exposition will be advanced students and researchers in mathematics, physics and other sciences who want to learn about specific methods to tackle problems involving semilinear elliptic equations.
Author : Takashi Suzuki
Publisher : Walter de Gruyter GmbH & Co KG
Page : 490 pages
File Size : 37,29 MB
Release : 2020-10-12
Category : Mathematics
ISBN : 3110556286
This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the qualitative properties of solutions using variational techniques, the maximum principle, blowup analysis, spectral theory, topological methods, etc. The book is self-contained and is addressed to experienced and beginning researchers alike.
Author : Ilya A. Kuzin
Publisher : Birkhäuser
Page : 260 pages
File Size : 19,31 MB
Release : 2012-01-06
Category : Mathematics
ISBN : 9783034892513
Semilinear elliptic equations play an important role in many areas of mathematics and its applications to other sciences. This book presents a wealth of modern methods to solve such equations. Readers of this exposition will be advanced students and researchers in mathematics, physics and other.
Author : Philip Korman
Publisher : World Scientific
Page : 254 pages
File Size : 42,52 MB
Release : 2012-02-10
Category : Mathematics
ISBN : 9814458066
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented.The author is one of the original contributors to the field of exact multiplicity results.
Author : Philip Korman
Publisher : World Scientific
Page : 254 pages
File Size : 16,2 MB
Release : 2012
Category : Mathematics
ISBN : 9814374350
This book provides an introduction to the bifurcation theory approach to global solution curves and studies the exact multiplicity of solutions for semilinear Dirichlet problems, aiming to obtain a complete understanding of the solution set. This understanding opens the way to efficient computation of all solutions. Detailed results are obtained in case of circular domains, and some results for general domains are also presented. The author is one of the original contributors to the field of exact multiplicity results.
Author : Takashi Suzuki
Publisher :
Page : 356 pages
File Size : 46,82 MB
Release : 1994
Category : Differential equations, Elliptic
ISBN :
Author : Yi Li
Publisher :
Page : 330 pages
File Size : 39,92 MB
Release : 1988
Category :
ISBN :
Author : Jan Chabrowski
Publisher : World Scientific
Page : 247 pages
File Size : 41,22 MB
Release : 1999-10-19
Category : Mathematics
ISBN : 9814494267
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.