A Dirichlet Problem in the Strip
Date
1996-10-26
Authors
Montefusco, Eugenio
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Maximum principle, Sliding method, Subsolution and supersolution
Citation
Montefusco, E. (1996). A Dirichlet problem in the strip. <i>Electronic Journal of Differential Equations, 1996</i>(10), pp. 1-9.
Rights
Attribution 4.0 International