一类二维p-Laplace算子方程解的对称性

Symmetry of the Solutions of a Two-dimensional Equation with p-Laplacian Operator

为研究二维带p-Laplace算子的拟线性方程解的对称性,利用Liouville型定理,在u∈L~∞(R^2)且_1u> 0的假设下,证明u是一维对称解.该结果推广了一类二维拟线性方程解的对称性质.

In order to study the symmetric properties of the solutions of the two-dimensional quasilinear equations with p-Laplacian operator,this paper,through Liouville s theorem,proves that u is the one-dimensional symmetric solution under the assumptions u∈L^∞(R^2)and 1 u>0.The results generalize the symmetric properties of the solutions of some two dimensional quasilinear equations.