Symmetric positive solutions for $\phi$-Laplacian boundary-value problems with integral boundary conditions

In this article, we study the existence, multiplicity, and nonexistence of symmetric positive solutions for a class of four-order integral boundary value problems with $\phi$-Laplacian operator. The arguments mainly rely on the Guo-Krasnosel'skii fixed point theorem of cone expansion and compre...

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2013; no. 266; pp. 1 - 21
Main Author Wengui Yang
Format Journal Article
LanguageEnglish
Published Texas State University 30.11.2013
Subjects
Boundary value problems
fixed point theorem
integral boundary conditions
phi-Laplacian operator
symmetric positive solutions
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Summary:In this article, we study the existence, multiplicity, and nonexistence of symmetric positive solutions for a class of four-order integral boundary value problems with $\phi$-Laplacian operator. The arguments mainly rely on the Guo-Krasnosel'skii fixed point theorem of cone expansion and compression of norm type and Leggett-Williams fixed point theorem. Finally, some examples are presented to illustrate the main results.
ISSN:1072-6691