各向异性椭圆方程双边障碍问题解的正则性  

Regularity for Weak Solutions of Anisotropic Double Obstacle Problems of Elliptic Equations

作　　者：谢素英[1] 杨超 XIE Suying;YANG Chao(Department of Mathematics, Sciences College, Hangzhou Dianzi University, Hangzhou310018, China)

机构地区：[1]杭州电子科技大学理学院数学系

出　　处：《应用数学》2019年第3期709-714,共6页Mathematica Applicata

基　　金：浙江省自然科学基金项目(LQ17A010007)

摘　　要：在适当的假设下,使用各向异性的逆Holder不等式和Sobolev不等式,得到了各向异性的拟线性椭圆方程-divA(x,■u)= B(x, u,■u)双边障碍问题弱解的局部正则性,推广了单边障碍问题的相关结果.Under some suitable assumptions, a local regularity of weak solution of anisotropic double obstacle problem for quasi-linear elliptic equation.divA(x,■u)= B(x,u,■u) is given by using an anisotropic reverse Holder's inequality and Sobolev inequality , and the corresponding results of some single obstacle problems are generalized.

关 键 词：弱解 双边障碍问题 逆Holder不等式 局部正则性 

分 类 号：O175.23[理学—数学]