Large Steklov eigenvalues on hyperbolic surfaces

DOI10.1007/S00209-024-03594-6MaRDI QIDQ6623321

Author name not available (Why is that?), Han Hong, Yuxin He

Publication date: 23 October 2024

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

zbMATH Keywords

Laplace-Beltrami operatorSteklov eigenvalue problemRiemann surface with boundary

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Compact Riemann surfaces and uniformization (30F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Growth of Weil-Petersson volumes and random hyperbolic surface of large genus
• The first Steklov eigenvalue, conformal geometry, and minimal surfaces
• Upper bounds for Steklov eigenvalues on surfaces
• A Cheeger inequality for the Steklov spectrum
• Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces
• The Fenchel-Nielsen deformation
• The geometry of the first non-zero Stekloff eigenvalue
• Boundary regularity for solutions of a partitioning problem
• Stability for hypersurfaces of constant mean curvature with free boundary
• Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\)
• The Steklov spectrum and coarse discretizations of manifolds with boundary
• Lengths of closed geodesics on random surfaces of large genus
• The spectral gap of graphs and Steklov eigenvalues on surfaces
• Variational aspects of Laplace eigenvalues on Riemannian surfaces
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Isoperimetric curves on hyperbolic surfaces
• THE SIMPLE SEPARATING SYSTOLE FOR HYPERBOLIC SURFACES OF LARGE GENUS
• Small eigenvalues of closed Riemann surfaces for large genus
• A high-genus asymptotic expansion of Weil–Petersson volume polynomials
• Geometry and spectra of compact Riemann surfaces
• Large genus asymptotics for lengths of separating closed geodesics on random surfaces

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