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

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.