Non-existence of nodal solution for m-Laplace equation involving critical Sobolev exponents

Adimurthi, ; Yadava, S. L. (1992) Non-existence of nodal solution for m-Laplace equation involving critical Sobolev exponents Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 102 (1). pp. 23-27. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/102/1/23-27...

Related URL: http://dx.doi.org/10.1007/BF02837176

Abstract

In this paper we study the non-existence of nodal solutions for critical Sobolev exponent problem -div(|∇u|^m-2∇u)=|u| ^p-1 u+|u| ^q-1 u in B(R) u = 0 on ∂B(R) where B(R) is a ball of radius R in Rⁿ.

Item Type:	Article
Source:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Critical Exponent; Eigenvalue; m-Laplacian
ID Code:	12002
Deposited On:	10 Nov 2010 05:09
Last Modified:	16 May 2016 21:24

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