Liouville theorems for stable solutions of biharmonic problem

Juncheng Wei; Dong Ye

doi:10.1007/s00208-012-0894-x

Liouville theorems for stable solutions of biharmonic problem

Juncheng Wei
, Dong Ye^*

^*此作品的通讯作者

Chinese University of Hong Kong
Université de Lorraine

科研成果: 期刊稿件 › 文章 › 同行评审

47 引用（Scopus）

摘要

We prove some Liouville type results for stable solutions to the biharmonic problem Δ²u = u^q, u > 0 in ℝⁿ where 1 < q < ∞. For example, for n ≥ 5, we show that there are no stable classical solution in ℝⁿ when.

源语言	英语
页（从-至）	1599-1612
页数	14
期刊	Mathematische Annalen
卷	356
期	4
DOI	https://doi.org/10.1007/s00208-012-0894-x
出版状态	已出版 - 8月 2013
已对外发布	是

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AB - We prove some Liouville type results for stable solutions to the biharmonic problem Δ2u = uq, u > 0 in ℝn where 1 < q < ∞. For example, for n ≥ 5, we show that there are no stable classical solution in ℝn when.

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JO - Mathematische Annalen

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Liouville theorems for stable solutions of biharmonic problem

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