Classification of the stable solution to biharmonic problems in large dimensions

2011/11/02 by Juncheng Wei, Wei, Juncheng, Xingwang Xu +3
Computer Science · Mathematics · #35J45 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.AP #math.FA #msc:35J45

paper · pdf · doi:10.48550/arxiv.1111.0393

15 pages

arxiv created 2011/11/02 · openalex publication_date 2011/11/02 · arxiv updated 2011/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new bound on the exponent for the nonexistence of stable solutions to the biharmonic problem Δ²u=u^p, u>0 in ℝⁿ where p>1, n ≥ 20.

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