吉林大学学报(理学版)2012,Vol.50Issue(2):232-236,5.
奇异非线性椭圆型方程组边值问题正解的存在唯一性
Existence and Uniqueness of Positive Solutions for Singular Nonlinear Boundary Value Problems of Elliptic Systems
摘要
Abstract
Using mixed monotone fixed point theorem in the cone theory, we studied Dirichlet boundary value problems of nonlinear elliptic systems with singularity, obtaining the existence and the uniqueness of positive solutions for nonlinear elliptic systems, under conditions of the nonlinear terms being mixed monotone.关键词
Dirichlet边值问题/椭圆型方程组/正解/存在性/唯一性Key words
Dirichlet boundary value problem/ elliptic systems/ positive solutions/ existence/ uniqueness分类
数理科学引用本文复制引用
文香丹,苑成军,范鹰..奇异非线性椭圆型方程组边值问题正解的存在唯一性[J].吉林大学学报(理学版),2012,50(2):232-236,5.基金项目
黑龙江省自然科学基金(批准号:A201012)和黑龙江省教育厅科学技术研究项目(批准号:11553067). (批准号:A201012)