Some Remarks on Biharmonic Elliptic Problems with a Singular Nonlinearity

We study the following semilinear biharmonic equation  , which satisfies 0<u̲λ<1. In the extremal case λ=λ*, we prove the existence of a weak solution which is the unique solution even in a very weak sense. Besides, several new difficulties arise and many problems still remain to be solved. We...

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Bibliographic Details
Main Author: Baishun Lai
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/896902