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非线性项变号的p-Laplace算子型两点边值问题的非负解

Nonnegative Solutions of p-Laplacian Two Point Boundary Value Problems with Sign Changing of Nonlinear Term
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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. Using the Leray-Schauder degree theory, we studied the existence of two nonnegative solutions to a type of p-Laplacian two point boundary value problems with sign changing of nonlinear term, and obtained sufficient conditions for the existence of the solution under weaker conditions.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2009年第3期449-455,共7页 Journal of Jilin University:Science Edition
基金 上海市教委科研项目基金(批准号:05EZ52)
关键词 LERAY-SCHAUDER度 非线性项变号 P-LAPLACE算子 非负解 Leray-Schauder degree sign changing of nonlinear term p-Laplace operator nonnegative solution
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