Barta's inequalities and the first eigenvalue of a cap domain of a 2- sphere

DOI10.1007/BF01161979zbMath0498.53034OpenAlexW1980606093MaRDI QIDQ1171294

Sadao Sato

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173235

zbMATH Keywords

stabilityminimal surfacesfirst eigenvalue of the Dirichlet problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

Estimates of the first Dirichlet eigenvalue from exit time moment spectra ⋮ Spectra of manifolds less a small domain ⋮ On the size of stable minimal surfaces in \(\mathbb{R}^4\) ⋮ Green functions and the Dirichlet spectrum ⋮ First Dirichlet eigenvalue and exit time moments: a survey ⋮ Eigenvalue estimates for submanifolds of warped product spaces ⋮ Estimates of the first Dirichlet eigenvalue by using diffusion processes ⋮ Zeros of a function given by the series of functions

Cites Work

• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
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