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arXiv:1111.0393 [math.AP]AbstractReferencesReviewsResources

Classification of the stable solution to biharmonic problems in large dimensions

Juncheng Wei, Xingwang Xu, Wen Yang

Published 2011-11-02Version 1

We give a new bound on the exponent for the nonexistence of stable solutions to the biharmonic problem $$\Delta^2u=u^p,\quad u>0 in \mathbb{R}^n $$ where $p>1, n \geq 20$.

Comments: 15 pages
Categories: math.AP, math.FA
Subjects: 35J45
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