MULTIPLE EIGENVALUES OF THE LAPLACE OPERATOR

DOI10.1070/SM1988v061n01ABEH003204zbMath0672.35049OpenAlexW1982537625MaRDI QIDQ5903952

Nikolai S. Nadirashvili

Publication date: 1988

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1988v061n01abeh003204

zbMATH Keywords

multiplicitySchrödinger operatorsestimates from abovecompact Riemannian two-dimensional manifolds

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (13)

The Martin compactification of a plane domain ⋮ On the semi-classical spectrum of an integrable system of dymension 1 around a hyperbolic singularity ⋮ On the Friedlander-Nadirashvili invariants of surfaces ⋮ Berger's isoperimetric problem and minimal immersions of surfaces ⋮ A Courant nodal domain theorem for linearized mean field type equations ⋮ Prescription of finite Dirichlet eigenvalues and area on surface with boundary ⋮ Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces ⋮ On the Yang-Yau inequality for the first Laplace eigenvalue ⋮ Existence and geometric structure of metrics on surfaces which extremize eigenvalues ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ Topological properties of eigenfunctions of Riemannian surfaces ⋮ On the ``hot spots conjecture of J. Rauch

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