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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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/896902 |