On an asymptotically linear elliptic Dirichlet problem

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 corresp...

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Bibliographic Details
Main Authors: Zhitao Zhang, Shujie Li, Shibo Liu, Weijie Feng
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337502207046