曲阜师范大学学报(自然科学版)2024,Vol.50Issue(3):23-28,33,7.DOI:10.3969/j.issn.1001-5337.2024.3.023
一类带有Hardy项的椭圆型方程正解的存在性
Existence of positive solutions for elliptic equations with Hardy terms
摘要
Abstract
In this paper,the existence of positive solutions for elliptic equations with Hardy terms under Neumann boundary conditions is studied.By using approximation method and Brouwer theorem,it is proved that the equation has at least one positive solution when the reaction term and boundary grow expo-nentially.关键词
半线性椭圆型方程/Hardy项/Brouwer定理Key words
semilinear elliptic equation/Hardy/Brouwer theorem分类
数理科学引用本文复制引用
杨林,樊永红,王琳琳..一类带有Hardy项的椭圆型方程正解的存在性[J].曲阜师范大学学报(自然科学版),2024,50(3):23-28,33,7.基金项目
国家自然科学基金(11201213) (11201213)
山东省自然科学基金(ZR2015AM026) (ZR2015AM026)
山东省高校科技发展计划(J15LI07). (J15LI07)