Existence of solutions for Dirichlet problems with p-Laplacian

被引：6
|
作者：
Ou, Zeng-Qi [1 ]
Li, Chun [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 13期
基金：
中国国家自然科学基金;
关键词：
p-Laplacian; Noncrossing condition; G-link Theorem; Eigenvalues; RESONANCE PROBLEMS; PERTURBATIONS; NONLINEARITY;
D O I：
10.1016/j.na.2012.04.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An existence theorem of the solutions is obtained for the p-Laplacian equation with Dirichlet boundary conditions by using the critical point theorem developed in Song and Tang (2006) [10], Martinez and Rossi (2003) [11], where F (x, t) = integral(t)(0)f(x, s)ds is assumed to lie between the two continuous eigenvalues lambda(k) < lambda(k+1) (k >= 1) of the p-Laplacian. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：4914 / 4919
页数：6
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