You might also like

More about Singular Elliptic Problems

• Book details
• Synopsis
• Trending among others

You get 268 loyalty points

Book synopsis

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

Book details

Book category Books in English Mathematics & science Mathematics Applied mathematics

• Full title: Singular Elliptic Problems
• Subtitle: Bifurcation & Asymptotic Analysis
• Author: Marius Ghergu, Vincentiu D. Radulescu
• Language: English
• Binding: Hardback
• Number of pages: 320
• EAN: 9780195334722
• ISBN: 0195334728
• ID: 04517976
• Publisher: Oxford University Press Inc
• Weight: 575 g
• Dimensions: 240 × 160 × 20 mm
• Date of publishing: 24. April 2008

Trending among others

---

---

---