Infinitely many sign-changing solutions for a class of biharmonic equation with p-Laplacian and Neumann boundary condition

被引：42

作者：

Sun, Fenglong ^{[1
]}

Liu, Lishan ^{[1
,2
]}

Wu, Yonghong ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Curtin Univ, Dept Math & Stat, Perth, WA 6845, Australia

来源：

APPLIED MATHEMATICS LETTERS | 2017年 / 73卷

基金：

中国国家自然科学基金;

关键词：

Biharmonic equation; sign-changing solution; p-Laplacian; Neumann boundary condition; Fountain Theorem; 4TH-ORDER ELLIPTIC-EQUATIONS; R-N; NONTRIVIAL SOLUTIONS; EXISTENCE; MULTIPLICITY;

D O I：

10.1016/j.aml.2017.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By introducing a subspace of H-2(Omega) with constraints partial derivative u/partial derivative n vertical bar(partial derivative Omega) = 0 and integral(Omega) udx = 0 and using the Fountain Theorem, we obtain the existence of infinitely many sign-changing high energy solutions for a biharmonic equations with p-Laplacian and Neumann boundary condition. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：128 / 135

页数：8

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