Eugenio Montefusco
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.
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