Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems

Remarks on Multiple Nontrivial Solutions for Quasi-Linear Resonant Problems

In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.

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Veröffentlicht in:Journal of mathematical analysis and applications 2001-06, Vol.258 (1), p.209-222
Hauptverfasser: Liu, Jiaquan, Su, Jiabao
Format: Artikel
Sprache:eng
Schlagworte:
critical group
double resonance
Exact sciences and technology
homological nontrivial critical point
local linking
Mathematical analysis
Mathematics
Morse theory
multiple solutions
Ordinary differential equations
Quasi-linear elliptic equation
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:In this paper Morse theory and local linking are used to study the existence of multiple nontrivial solutions for a class of Dirichlet boundary value problems with double resonance at infinity and at 0.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.2000.7374