Über den ersten Eigenwert des Laplace-Operators auf kompakten Riemannschen Flächen

DOI10.1007/BF02566733zbMath0287.35075MaRDI QIDQ1846179

Heinz Huber

Publication date: 1974

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139584

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Differentials on Riemann surfaces (30F30) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (9)

Random hyperbolic surfaces of large genus have first eigenvalues greater than \(\frac{3}{16}-\epsilon\) ⋮ A random cover of a compact hyperbolic surface has relative spectral gap \(\frac{3}{16}-\varepsilon\) ⋮ First eigenvalue of the Laplacian on compact surfaces for large genera ⋮ Near optimal spectral gaps for hyperbolic surfaces ⋮ Towards optimal spectral gaps in large genus ⋮ Cubic graphs and the first eigenvalue of a Riemann surface ⋮ The diameter of random Belyĭ surfaces ⋮ Bootstrap bounds on closed hyperbolic manifolds ⋮ Bootstrapping closed hyperbolic surfaces

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