Electronic Journal of Differential Equations,
Vol. 1996(1996), No. 10, pp. 1-09.

Title: A Dirichlet problem in the strip 

Author: Eugenio Montefusco (Scuola Normale Superioire, Pisa, Italy)

Abstract: 
In this paper we investigate a Dirichlet problem in a strip and, using 
the sliding method, we prove monotonicity for positive and bounded 
solutions. We obtain uniqueness of the solution and show that this 
solution is a function of only one variable.
From these qualitative properties we deduce existence of a classical
solution for this problem.

Submitted June 8, 1996. Published October 26, 1996.
Math Subject Classification: 35J65, 35B50.
Key Words: Maximum Principle; Sliding Method; Subsolution and Supersolution.