Singular elliptic problems

Singular elliptic problems: bifurcation and asymptotic analysis

by Ghergu, Marius

Type Book
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"Singular Elliptic Problems provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. The book is an elementary introduction to nonlinear elliptic partial differential equations, which arise in the research of various nonlinear and singular phenomena within mathematical physics. Interest in this direction of research relates to the application of these problems in physics, quantum physics, mathematics, genetics, engineering,…

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Title Statements

  • Full title :Singular elliptic problems : bifurcation and asymptotic analysis / Marius Ghergu, Vicenţiu D. Rădulescu.

Summary

"Singular Elliptic Problems provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. The book is an elementary introduction to nonlinear elliptic partial differential equations, which arise in the research of various nonlinear and singular phenomena within mathematical physics. Interest in this direction of research relates to the application of these problems in physics, quantum physics, mathematics, genetics, engineering, economics, and differential geometry."--Jacket.

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Edition Statements

  • Publication Date:2008.

Publication Statements

The Physical Object

  • Description:xvi, 298 pages : : illustrations ; : 25 cm.

Edition Identifiers

  • ISBN:9780195334722, 0195334728
  • oclc:ocn162507384
  • LC Classification:QA377
  • Dewey Decimal:515/.3533

Table of Contents

Blow-up solutions for semilinear elliptic equations -- Entire solutions blowing up at infinity for elliptic systems -- Sublinear perturbations of singular elliptic problems -- Bifurcation and asymptotic analysis : the monotone case -- Bifurcation and asymptotic analysis : the nonmonotone case -- Superlinear perturbations of singular elliptic problems -- Stability of the solution of a singular problem -- The influence of a nonlinear convection term in singular elliptic problems -- Singular Gierer-Meinhardt systems -- Appendix A : spectral theory for differential operators -- Appendix B : implicit function theorem -- Appendix C : Ekeland's variational principle -- Appendix D : Mountain pass theorem.

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Subjects

Bifurcation theory Differential equations, Elliptic -- Asy… Differential equations, Nonlinear Elliptische Differentialgleichung Equações diferenciais Équations différentielles elliptiques -… Équations différentielles non linéaires Singuläre partielle Differentialgleichu… Teoria assintótica Théorie de la bifurcation Verzweigung

Writers

Ghergu, Marius Rădulescu, Vicenţiu D.

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