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The Nehari manifold for a semilinear elliptic problem with the nonlinearboundary condition
Zhang Jinguo,Liu Xiaochun * #
School of Mathematics and Statistics, Wuhan University, WuHan 430072
*Correspondence author
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Funding: FRFCU （No.grant 20124358）, NSFC （No.grant 11171261）, RFDP（No.grant 200804860046 ）
Opened online:30 November 2012
Accepted by: none
Citation: Zhang Jinguo,Liu Xiaochun.The Nehari manifold for a semilinear elliptic problem with the nonlinearboundary condition[OL]. [30 November 2012] http://en.paper.edu.cn/en_releasepaper/content/4495534
 
 
In this paper, using the Nehari manifold and fibering maps, we prove the multiplicity results for the semilinear elliptic equation with the nonlinear boundary condition. We discuss how the Nehari manifold changes as λchanges,and show how the existence of solutions depends on the properties of the Nehari manifold.
Keywords:Nehari manifold; Fibrering maps; Critical exponents; Nonlinear boundary problems
 
 
 

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