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

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