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.
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页码：128 / 135
页数：8
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