## Differential and Integral Equations

### Existence and comparison for some quasilinear degenerate elliptic problems

#### Abstract

Our aim is to prove, by a constructive process with strong convergence, the existence of a minimal solution for some quasilinear degenerate elliptic equations of the type $$-div \; A(x, \nabla u)= F(x,u) \; \mbox{in} \; \Omega .$$ Our proof uses rearrangement techniques and provides comparisons.

#### Article information

Source
Differential Integral Equations Volume 13, Number 7-9 (2000), 1095-1110.

Dates
First available in Project Euclid: 21 December 2012