Solvability of the resonant 1-dimensional periodic p-Laplacian equations

Jiang, Mei-Yue
Wang, Yong

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Publication date

January 2010

DOI

10.1016/j.jmaa.2010.04.070

Publisher

数学分析与应用杂志

Journal

0022-247x

Abstract

In this paper we study the existence of 2 pi-periodic solutions of -(|x'|(p-2)x')' = lambda|x|(p-2)x + f(t), x is an element of R where p > 1, lambda is an eigenvalue of the corresponding homogeneous equation, f is a 2 pi-periodic function. Some existence results are proved via the Morse theory. (C) 2010 Elsevier Inc. All rights reserved.Mathematics, AppliedMathematicsSCI(E)3ARTICLE1107-13137

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Solvability of the resonant 1-dimensional periodic p-Laplacian equations

Abstract

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Solvability of the resonant 1-dimensional periodic p-Laplacian equations

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