Critical Sobolev exponent problem in Rn(n≥4) with Neumann boundary condition

Adimurthi, ; Yadava, S. L. (1990) Critical Sobolev exponent problem in Rn(n≥4) with Neumann boundary condition Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 100 (3). pp. 275-284. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/100/3/275-2...

Related URL: http://dx.doi.org/10.1007/BF02837850

Abstract

In this paper we study the existence and non existence of positive solution for the critical Sobolev exponent problem - Δu = u(n+2)/(n-2) + λα(x)u) in Ω ∂u/∂c = 0 on ∂B, where Ω is a bounded domain in Rn(n≥4).

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Critical Exponent; Flatness Condition; Neumann Boundary
ID Code:12104
Deposited On:10 Nov 2010 04:30
Last Modified:16 May 2016 21:30

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