English

Classification of the stable solution to biharmonic problems in large dimensions

Analysis of PDEs 2011-11-03 v1 Functional Analysis

Abstract

We give a new bound on the exponent for the nonexistence of stable solutions to the biharmonic problem Δ2u=up,u>0inRn\Delta^2u=u^p,\quad u>0 in \mathbb{R}^n where p>1,n20p>1, n \geq 20.

Keywords

Cite

@article{arxiv.1111.0393,
  title  = {Classification of the stable solution to biharmonic problems in large dimensions},
  author = {Juncheng Wei and Xingwang Xu and Wen Yang},
  journal= {arXiv preprint arXiv:1111.0393},
  year   = {2011}
}

Comments

15 pages

R2 v1 2026-06-21T19:29:29.026Z