Multiple sign-changing solutions of an elliptic eigenvalue problem

Aixia Qian; Shujie Li

doi:10.3934/dcds.2005.12.737

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2005, Volume 12, Issue 4: 737-746. Doi: 10.3934/dcds.2005.12.737

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Multiple sign-changing solutions of an elliptic eigenvalue problem

Aixia Qian^1, and
Shujie Li^2,

1.
Department of Mathematics, Qufu Normal University, Qufu Shangdong, 273165
2.
Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, 100080

Received: November 30, 2003

Revised: September 30, 2004

Published: June 2005

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Abstract

We prove the existences of multiple sign-changing solutions for a semilinear elliptic eigenvalue problem with constraint by using variational methods under weaker conditions.

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Mathematics Subject Classification: Primary: 35J25, 85E05.

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