一类A-调和方程障碍问题弱解的局部梯度估计

Local gradient estimates for weak solutions of obstacle problems to a class of A-harmonic equations

研究一类A-调和方程对应障碍问题弱解的局部梯度估计,首先获得其局部L p估计,然后再使用新标准化方法和迭代覆盖逼近方法将其推广到Orlicz空间。

This paper deals with the local gradient estimates for weak solutions of obstacle problems to a class of A-harmonic equa-tions.L p-type estimates to weak solutions of obstacle problems are derived.The Lϕ-type estimates in Orlicz space are also obtained by a new normalization method and a new iteration-covering approach.