Vol. 263, No. 2, 2013

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ISSN: 0030-8730
On the classification of stable solutions to biharmonic problems in large dimensions

Juncheng Wei, Xingwang Xu and Wen Yang

Vol. 263 (2013), No. 2, 495–512
Abstract

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

Keywords
stable solutions, biharmonic superlinear equations
Mathematical Subject Classification 2010
Primary: 35B20
Secondary: 35J60
Milestones
Received: 1 November 2011
Revised: 24 April 2012
Accepted: 31 July 2012
Published: 31 May 2013
Authors
Juncheng Wei
Department of Mathematics
The Chinese University of Hong Kong
Shatin, NT
Hong Kong
Xingwang Xu
Department of Mathematics
National University of Singapore
Block S17 (SOC1)
10 Lower Kent Ridge Road
Singapore 119076
Singapore
Wen Yang
Department of Mathemtics
Chinese University of Hong Kong
Shatin, NT
Hong Kong