Mathematics and System Engineering Faculty Publications
Document Type
Article
Publication Title
Abstract and Applied Analysis
Abstract
Under very simple conditions, we prove the existence of one positive and one negative solution of an asymptotically linear elliptic boundary value problem. Even for the resonant case at infinity, we do not need to assume any more conditions to ensure the boundness of the (PS) sequence of the corresponding functional. Moreover, the proof is very simple. © 2002 Hindawi Publishing Corporation.
First Page
509
DOI
10.1155/S1085337502207046
Publication Date
2003
Recommended Citation
Zhang, Zhitao; Li, Shujie; Liu, Shibo; and Feng, Weijie, "On an asymptotically linear elliptic dirichlet problem" (2003). Mathematics and System Engineering Faculty Publications. 196.
https://repository.fit.edu/math_faculty/196