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On the classification
of stable solutions to biharmonic problems in large
dimensions
Juncheng Wei, Xingwang Xu and Wen Yang |
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Vol. 263 (2013), No. 2, 495–512
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Abstract |
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We give a new bound on the exponent for nonexistence of stable solutions to the biharmonic problem Δ2u = up in ℝn, where u > 0, p > 1, and n ≥ 20. |
Keywords
stable solutions, biharmonic superlinear equations
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Mathematical Subject Classification 2010
Primary: 35B20
Secondary: 35J60
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Milestones
Received: 1 November 2011
Revised: 24 April 2012
Accepted: 31 July 2012
Published: 31 May 2013
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Authors |
| Juncheng Wei | |
| Department of Mathematics The Chinese University of Hong Kong Shatin, NT Hong Kong |
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| Xingwang Xu | |
| Department of Mathematics National University of Singapore Block S17 (SOC1) 10 Lower Kent Ridge Road Singapore 119076 Singapore |
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| Wen Yang | |
| Department of Mathemtics Chinese University of Hong Kong Shatin, NT Hong Kong |
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