On an asymptotically linear elliptic dirichlet problem

Zhitao Zhang; Shujie Li; Shibo Liu; Weijie Feng

doi:10.1155/S1085337502207046

On an asymptotically linear elliptic dirichlet problem

Zhitao Zhang
, Shujie Li
, Shibo Liu
, Weijie Feng

Chinese Academy of Sciences

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

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.

Original language	English
Pages (from-to)	509-516
Number of pages	8
Journal	Abstract and Applied Analysis
Volume	7
Issue number	10
DOIs	https://doi.org/10.1155/S1085337502207046
State	Published - 2002
Externally published	Yes

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title = "On an asymptotically linear elliptic dirichlet problem",

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.",

author = "Zhitao Zhang and Shujie Li and Shibo Liu and Weijie Feng",

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T1 - On an asymptotically linear elliptic dirichlet problem

AU - Zhang, Zhitao

AU - Li, Shujie

AU - Liu, Shibo

AU - Feng, Weijie

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0142014522

U2 - 10.1155/S1085337502207046

DO - 10.1155/S1085337502207046

M3 - 文章

AN - SCOPUS:0142014522

SN - 1085-3375

VL - 7

SP - 509

EP - 516

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

IS - 10

ER -

On an asymptotically linear elliptic dirichlet problem

Abstract

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