The first Dirichlet Eigenvalue of the Laplacian in a Class of Doubly Connected Domains in Complex Projective Space

Akanksha V. Rane () and A. R. Aithal ()
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Akanksha V. Rane: University of Mumbai
A. R. Aithal: University of Mumbai

Indian Journal of Pure and Applied Mathematics, 2019, vol. 50, issue 1, 69-81

Abstract: Abstract Let B1 be an open ball of radius r1 in the complex projective space. Let B0 be a smaller open ball inside it. It is shown that first Dirichlet eigenvalue of the Laplacian on B1 \ $$\overline {{B_0}} $$ B 0 ¯ is maximal if and only if the balls are concentric.

Keywords: Laplace-Beltrami operator; extremum of first Dirichlet eigenvalues; maximum-principles (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s13226-019-0307-x

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