# RADIAL SYMMETRY AND SPHERICAL NODAL SET OF SOLUTIONS OF NONLINEAR ELLIPTIC EQUATIONS

• Seok, Yong-Jing (Department of Mathematics Education, Kangwon National University)
• Published : 1995.01.01

#### Abstract

In this note, we will investigate the radial symmetry of some kind of solutions of nonlinear ellipitic equations $$\Delta U = f(U)$$ $$(1.1) U = 0 in B$$ $$U \in C^2 (\bar{B}) on \partial B$$ Here f is $C^1$ and B denotes a n-dimensional unit ball in $R^n$.