Homoclinic solutions for ordinary p-Laplacian systems

被引：12

作者：

Lv, Xiang ^{[1
]}

Lu, Shiping ^{[2
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[2] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 09期

基金：

高等学校博士学科点专项科研基金;

关键词：

Homoclinic solutions; p-Laplacian systems; Mountain pass theorem; Superquadratic potentials; 2ND-ORDER HAMILTONIAN-SYSTEMS; ORBITS; EXISTENCE;

D O I：

10.1016/j.amc.2011.11.065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new result for the existence of homoclinic orbits is obtained for ordinary p-Laplacian system d/dt (vertical bar(u) over dot(t)vertical bar(p-2)(u) over dot(t)) + del V(t,u(t)) - f(t), where p > 1, t is an element of R, u is an element of R-n and V is an element of C-1(R x R-n, R), V(t, x) = -K(t, x) + W(t, x) is T-periodic with respect to t, T > 0 and f : R -> R-n is a continuous and bounded function. This result generalizes and improves some known results in the previous literature. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：5682 / 5692

页数：11

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