Existence and non-existence results for semilinear elliptic problems in unbounded domains 论文
1982Proceedings of the Royal Society of Edinburgh Section A Mathematics引用 258
Nonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary Problems
摘要
Synopsis In this paper, we prove various existence and non-existence results for semilinear elliptic problems in unbounded domains. In particular we prove for general classes of unbounded domains that there exists no solution distinct from 0 of for any smooth f satisfying f (0) = 0. This result is obtained by the use of new identities that solutions of semilinear elliptic equations satisfy.