Classification of the stable solution to biharmonic problems in large dimensions

Details Classification of the stable solution to biharmonic problems in large dimensions Classification of the stable solution to biharmonic problems in large dimensions

2011-11-02

arxiv.org/abs/1111.0393v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

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
$p>1, n \geq 20$.

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