On a conjecture of lin-Ni for a semilinear Neumann problem

Adimurthi, ; Yadava, S. L. (1993) On a conjecture of lin-Ni for a semilinear Neumann problem Transactions of the American Mathematical Society, 336 (2). pp. 631-637. ISSN 0002-9947

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Official URL: http://www.ams.org/journals/tran/1993-336-02/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9947-1993-1156299-0

Abstract

Let Ω be a bounded domain in Rⁿ (n ≥ 3) and λ > 0. We consider -Δu + λu = u^{(n + 2)/( n - 2)} in Ω, u > o in Ω, ∂u/∂v = 0 on ∂Ω and show that for λ sufficiently small, the minimal energy solutions are only constants.

Item Type:	Article
Source:	Copyright of this article belongs to American Mathematical Society.
ID Code:	60647
Deposited On:	09 Sep 2011 09:47
Last Modified:	18 May 2016 10:41

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