Semilinear elliptic problems in unbounded domains
Volume 33 / 2006
Applicationes Mathematicae 33 (2006), 345-354
MSC: 35J60, 35B30, 35B35.
DOI: 10.4064/am33-3-8
Abstract
We investigate the existence of positive solutions and their continuous dependence on functional parameters for a semilinear Dirichlet problem. We discuss the case when the domain is unbounded and the nonlinearity is smooth and convex on a certain interval only.