Existence and geometric structure of metrics on surfaces which extremize eigenvalues

DOI10.1007/s00574-013-0034-6zbMath1336.53070OpenAlexW2100671643MaRDI QIDQ2015844

Richard M. Schoen

Publication date: 24 June 2014

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-013-0034-6

zbMATH Keywords

minimal surfacespectral theorySteklov eigenvaluefree boundary condition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometric aspects of harmonic maps (53C43) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (4)

Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ The spectrum of the Laplacian: A geometric approach ⋮ Generalizations of the Choe-Hoppe helicoid and Clifford cones in Euclidean space

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