Singular Elliptic Problems: Bifurcation & Asymptotic Analysis - Rilegato

Ghergu, Marius; Radulescu, Vicentiu

 
9780195334722: Singular Elliptic Problems: Bifurcation & Asymptotic Analysis
Rilegato
ISBN 10: 0195334728 ISBN 13: 9780195334722
Casa editrice: OUP USA, 2008

Sinossi

This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. There are carefully analyzed logistic type equations with boundary blow-up solutions and generalized Lane-Emden-Fowler equations or Gierer-Meinhardt systems with singular nonlinearity in anisotropic media. These nonlinear problems appear as mathematical models in various branches of Physics, Mechanics, Genetics, Economics, Engineering, and they are also relevant in Quantum Physics and Differential Geometry.

One of the main purposes of this volume is to deduce decay rates for general classes of solutions in terms of estimates of particular problems. Much of the material included in this volume is devoted to the asymptotic analysis of solutions and to the qualitative study of related bifurcation problems. Numerical approximations illustrate many abstract results of this volume. A systematic description of the most relevant singular phenomena described in these lecture notes includes existence (or nonexistence) of solutions, unicity or multiplicity properties, bifurcation and asymptotic analysis, and optimal regularity.

The method of presentation should appeal to readers with different backgrounds in functional analysis and nonlinear partial differential equations. All chapters include detailed heuristic arguments providing thorough motivation of the study developed later on in the text, in relationship with concrete processes arising in applied sciences. The book includes an extensive bibliography and a rich index, thus allowing for quick orientation among the vast collection of literature on the mathematical theory of nonlinear singular phenomena

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Informazioni sull?autore

Marius Ghergu is Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy. Vicentiu Radulescu is Senior Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy and Full Professor at the University of Craiova.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
OUP USA
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0195334728
ISBN 13 
9780195334722
Rilegatura
Copertina rigida
Numero di pagine
320
Contatto del produttore
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