双障碍问题中梯度的局部和全局可积性(英文)  

Local and Global Integrability of Derivatives of Solutions in Double Obstacle Problem

作　　者：佟玉霞[1] 谷建涛[1] 孟宪瑞[1] 

机构地区：[1]河北理工大学理学院,河北唐山063009

出　　处：《应用数学》2009年第2期375-380,共6页Mathematica Applicata

基　　金：Supported by Scientific Research Foundation of Hebei Polytechnic University(z0819)

摘　　要：本文研究形如.Ap(x,u,u)=0的二阶拟线性椭圆方程的双障碍问题,获得了双障碍问题中解的梯度的局部和全局可积性,这些结果可用于证明双障碍问题解的稳定性.A Local and global integrability of the derivatives of solutions to double obstacle problems associated with the second-order quasilinear elliptic differential equation △· Ap （x, u, △ u） = 0 is obtained under natural assumptions on obstacles. This result can be used to prove a stability result for solutions to double obstacle problems for varying equations.

关 键 词：双障碍问题 可积性 p-Poincaré厚 

分 类 号：O175.25[理学—数学]