Montefusco, Eugenio

A Dirichlet problem in the strip

Electron. J. Differ. Equ. 1996(10), (1996)


Summary: 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.

Mathematics Subject Classification

35J65, 35B50


maximum principle, sliding method, subsolution and supersolution