纺织高校基础科学学报2017，Vol.30Issue(1)：18-22,5.DOI:10.13338/j.issn.1006-8341.2017.01.004
上半空间高次分数阶Laplace方程解的不存在性
Nonexistence of positive solutions for higher order fractional Laplacians in an upper-half space
摘要
Abstract
Nonexistence of positive solutions for equations involving higher order fractional Laplacians with Navier conditions in an upper-half space is considered.Narrow region principle of higher-order fractional Laplacian equations is established by using iterative method.And then with method of moving planes,nonexistence of positive solutions for equations involving higher-order fractional Laplacians with Navier conditions is proved.关键词
高次分数阶Laplace方程/Navier条件/狭窄区域极值原理/解不存在性Key words
higher order fractional Laplacians/Navier condition/narrow region principles/nonexistence of solutions分类
数理科学引用本文复制引用
李冬艳,陈文雄..上半空间高次分数阶Laplace方程解的不存在性[J].纺织高校基础科学学报,2017,30(1):18-22,5.基金项目
国家数学天元基金(11626182) （11626182）
陕西省自然科学基础研究计划资助项目(2016JQ1029) （2016JQ1029）
陕西省教育厅专项科研计划项目(16JK1320) （16JK1320）
