- Research Article
- Open Access
- Published:
Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems
Boundary Value Problems volume 2010, Article number: 268946 (2010)
Abstract
By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems , in
;
, on
. Existence results of two nontrivial solutions and infinite many solutions are obtained.
Publisher note
To access the full article, please see PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Cheng, B., Wu, X. & Liu, J. Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems. Bound Value Probl 2010, 268946 (2010). https://doi.org/10.1155/2010/268946
Received:
Accepted:
Published:
DOI: https://doi.org/10.1155/2010/268946
Keywords
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Nontrivial Solution