A p-Laplacian problem with a multi-point boundary condition

被引：10

作者：

García-Huidobro, M

Manásevich, R

Yan, P

Zhang, MR ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile

[3] Univ Chile, CNRS, UMR 2071, Ctr Modelamiento Matemat, Santiago, Chile

[4] Pontificia Univ Catolica Chile, Dept Matemat, Santiago, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 03期

关键词：

p-Laplacian; multi-point boundary condition; Lebesgue-Stieltjes integral; degree theory; eigenvalue; L-p norms;

D O I：

10.1016/j.na.2004.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will use the degree theory to give an existence result to the boundary value problem of nonlinear perturbations of the scalar p-Laplacian with the multi-point boundary condition involving the Lebesgue-Stieltjes integral. Among the boundary conditions considered in this paper, we will find also the optimal bounds on the growth of the nonlinear perturbations in our existence result. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：319 / 333

页数：15

共 20 条

[1]

CARTER M, 2000, LEBESGUESTIELTJES IN, pCH4

[2] Solvability of three point boundary value problems at resonance [J].