Multiplicity of Nontrivial Solutions for Kirchhoff Type Problems

<p>Abstract</p> <p>By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems <inline-formula> <graphic file="1687-2770-2010-268946-i1.gif"/></inline-formula>, in <inline-formula> <graphic file="1687-27...

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Bibliographic Details
Main Authors: Wu Xian, Cheng Bitao, Liu Jun
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2010/268946
Description
Summary:<p>Abstract</p> <p>By using variational methods, we study the multiplicity of solutions for Kirchhoff type problems <inline-formula> <graphic file="1687-2770-2010-268946-i1.gif"/></inline-formula>, in <inline-formula> <graphic file="1687-2770-2010-268946-i2.gif"/></inline-formula>; <inline-formula> <graphic file="1687-2770-2010-268946-i3.gif"/></inline-formula>, on <inline-formula> <graphic file="1687-2770-2010-268946-i4.gif"/></inline-formula>. Existence results of two nontrivial solutions and infinite many solutions are obtained.</p>
ISSN:1687-2762
1687-2770