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Multiplicity of solutions for a class of Kirchhoff type problems

Multiplicity of solutions for a class of Kirchhoff type problems In this paper we apply the (variant) fountain theorems to study the symmetric nonlinear Kirchhoff nonlocal problems. Under the Ambrosetti-Rabinowitz’s 4-superlinearity condition, or no Ambrosetti-Rabinowitz’s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Multiplicity of solutions for a class of Kirchhoff type problems

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References (24)

Publisher
Springer Journals
Copyright
Copyright © 2010 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Theoretical, Mathematical and Computational Physics; Math Applications in Computer Science; Applications of Mathematics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-010-0005-2
Publisher site
See Article on Publisher Site

Abstract

In this paper we apply the (variant) fountain theorems to study the symmetric nonlinear Kirchhoff nonlocal problems. Under the Ambrosetti-Rabinowitz’s 4-superlinearity condition, or no Ambrosetti-Rabinowitz’s 4-superlinearity condition, we present two results of existence of infinitely many large energy solutions, respectively.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jun 12, 2010

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