非线性项变号的p-Laplace算子型两点边值问题

非线性项变号的p-Laplace算子型两点边值问题

张鲁潮, 刘锡平

上海理工大学理学院, 上海 200093

收稿日期:2008-07-04 修回日期:1900-01-01 出版日期:2009-05-26 发布日期:2009-06-23
通讯作者: 张鲁潮

Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term

ZHANG Luchao, LIU Xiping

College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2008-07-04 Revised:1900-01-01 Online:2009-05-26 Published:2009-06-23
Contact: ZHANG Luchao

摘要/Abstract

摘要： 利用Leray-Schauder度理论, 研究一类具有变号非线性项的p-Laplace算子型微分方程两点边值问题两个非负解的存在性, 在较弱的条件下得到了方程非负解存在的充分条件.

关键词: Leray-Schauder度, 非线性项变号, p-Laplace算子, 非负解

Abstract: Using the Leray-Schauder degree theory, we studied the existence of two nonnegative solutions to a type of p-Laplacian two point b oundary value problems with sign changing of nonlinear term, and obtained sufficient conditions for the existence of the solution under weaker conditions.

Key words: LeraySchauder degree, sign changing of nonlinear term, p-Laplace operator, nonnegative solution

中图分类号:

O175.8

张鲁潮, 刘锡平. 非线性项变号的p-Laplace算子型两点边值问题[J]. J4, 2009, 47(03): 449-455.

ZHANG Luchao, LIU Xiping. Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term[J]. J4, 2009, 47(03): 449-455.

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