On an asymptotically linear elliptic Dirichlet problem

Zhitao Zhang, Shujie Li, Shibo Liu and Weijie Feng

Abstract and Applied Analysis, 2002, vol. 7, 1-8

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.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:825891

DOI: 10.1155/S1085337502207046

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