Chapter 4 Radial solutions of quasilinear elliptic differential equations

Abstract

This paper constitutes a short survey of the subject of radial solutions for quasilinear elliptic partial differential equations where the underlying domain is either a ball, an annular region, the exterior of a ball, or the whole space. In case the dependence of the equation on the independent variable is only in the radial direction, special solutions of such equations may be sought which depend only on the radial variable and as such are solutions of a boundary value problem for an associated nonlinear ordinary differential equation.