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arXiv · 1111.0393

Classification of the stable solution to biharmonic problems in large dimensions

Juncheng Wei·Xingwang Xu·Wen Yang
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Abstract

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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Juncheng Wei, Xingwang Xu, Wen Yang. 2011-11-02. Classification of the stable solution to biharmonic problems in large dimensions. https://arxiv.org/abs/1111.0393

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