Articles with "dirichlet eigenvalue" as a keyword



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A sharp upper bound for the first Dirichlet eigenvalue of cone-like domains

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Published in 2020 at "Archiv der Mathematik"

DOI: 10.1007/s00013-020-01499-4

Abstract: The aim of this paper is to give a complementary upper bound-type isoperimetric inequality for the fundamental Dirichlet eigenvalue of a bounded domain completely contained in a cone. This inequality is a counterpart to the… read more here.

Keywords: inequality; dirichlet eigenvalue; sharp upper; upper bound ... See more keywords
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The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls

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Published in 2021 at "Mathematische Zeitschrift"

DOI: 10.1007/s00209-021-02859-8

Abstract: On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform PoincarĂ© inequality for any geodesic ball. In this note, we obtain the sharp lower bound of the first Dirichlet eigenvalue of such… read more here.

Keywords: dirichlet eigenvalue; bound first; first dirichlet; lower bound ... See more keywords