吉林大学学报（理学版）Issue(4)：737-739,3.DOI:10.13413/j.cnki.jdxblxb.2014.04.19
一类分数阶椭圆型方程解的存在性
Existence of Solutions for Some Elliptic Equations with Fractional
摘要
Abstract
This paper deals with the existence of solutions for some fractional elliptic equation (-Δ)su =f (x ,u) under Dirichlet boundary condition. When the asymptotic growing of the nonlinearity f at zero and infinity was maintained,a new existence result was obtained by means of used the mountain pass theorem.关键词
分数阶 Laplace 方程/Dirichlet 边值条件/山路定理Key words
fractional Laplace equation/Dirichlet boundary condition/mountain pass theorem分类
数理科学引用本文复制引用
关丽红,常晶,赵昕..一类分数阶椭圆型方程解的存在性[J].吉林大学学报（理学版）,2014,(4):737-739,3.基金项目
吉林省自然科学基金(批准号:20130522095JH （）
201215184)和吉林省教育厅“十二五”规划科技项目(批准号:吉教科合字[2012]第462号) （批准号:吉教科合字[2012]第462号）
