Bounded Solutions of Elliptic BVPs in Exterior Domain
Aleksandra Orpel · Numerical Functional Analysis and Optimization · 2005
The aim of this paper is to answer the question: when the Dirichlet problem for a certain partial differential equations (PDE) of elliptic type considered in unbounded domain possess at least one (notrivial) non-negative solution. We also investigate the continuous dependence on functional parameters of these solutions. Our approach is based on variational methods.