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<br> 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. <p>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.</p> <p>The method of

Who reads Singular Elliptic Problems : Bifurcation and Asymptotic Analysis?

Author

Ghergu, Marius, Radulescu, Vicentiu

Publisher

Oxford University Press, USA; Oxford University Press

Published

2008

Language

EN

ISBN

9780195334722

Category

mathematics

Subjects

Mathematics, Stem

Rating

5 / 5 (1 ratings)

Updated

2026-03-14