On the radially symmetric solutions of a BVP for a class of nonlinear elliptic partial differential equations

Uniqueness and comparison theorems are proved for the BVP of the form $$\Delta u(x)+g(x,u(x),\ |\nabla u(x)|)=0,\quad x\in B, u|_\Gamma=a\in {\mathbb{R}}\ (\Gamma:=\partial B),$$ where $B$ is the unit ball in ${\mathbb{R}}^n$ centered at the origin $(n\ge2).$ We investigate radially symmetric solu...

Full description

Bibliographic Details
Main Author: Jenő Hegedűs
Format: Article
Language:English
Published: University of Szeged 2000-01-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=74