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2003 Inequalities for the gradient of eigenfunctions of the Laplace-Beltrami operator
Stevo Stević
Funct. Approx. Comment. Math. 31: 119-131 (2003). DOI: 10.7169/facm/1538186643

Abstract

In this paper we shall consider propelties of the eigenfunctions of the Laplace-Beltrami operator $\Delta \rho$ and properties of its gradient for a proper domain $D$ with a conformal metric, which density is equal to the reciprocal value of a defining function $\rho(x)$ for this domain i.e. $ds = \rho^{-1}(x)\vert dx \vert$.

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Stevo Stević. "Inequalities for the gradient of eigenfunctions of the Laplace-Beltrami operator." Funct. Approx. Comment. Math. 31 119 - 131, 2003. https://doi.org/10.7169/facm/1538186643

Information

Published: 2003
First available in Project Euclid: 29 September 2018

zbMATH: 1074.31006
MathSciNet: MR2059541
Digital Object Identifier: 10.7169/facm/1538186643

Subjects:
Primary: 31C05
Secondary: 35J15 , 35P15

Keywords: $HL$-property , Density , eigenfunction , Laplace-Beltrami operator

Rights: Copyright © 2003 Adam Mickiewicz University

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