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^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1599-1612
Number of pages	14
Journal	Mathematische Annalen
Volume	356
Issue number	4
DOIs	https://doi.org/10.1007/s00208-012-0894-x
State	Published - Aug 2013
Externally published	Yes

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title = "Liouville theorems for stable solutions of biharmonic problem",

abstract = "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.",

author = "Juncheng Wei and Dong Ye",

year = "2013",

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doi = "10.1007/s00208-012-0894-x",

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journal = "Mathematische Annalen",

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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.

UR - https://www.scopus.com/pages/publications/84879945792

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DO - 10.1007/s00208-012-0894-x

M3 - 文章

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VL - 356

SP - 1599

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JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 4

ER -

Liouville theorems for stable solutions of biharmonic problem

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