Extremum problems for Laplacian eigenvalues with free boundary

DOI10.1016/0362-546X(92)90053-HzbMath0776.35038OpenAlexW1986616156MaRDI QIDQ4695749

Alexander S. Bratus', A. D. Myshkis

Publication date: 29 June 1993

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90053-h

zbMATH Keywords

Neumann conditionDirichlet conditionextremum properties of the spectrum for a circular membranemaximum ratio

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Optimization of spectral functions of Dirichlet-Laplacian eigenvalues ⋮ Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations

Cites Work

• Bounds for the ratios of the first three membrane eigenvalues
• On the Ratio of Consecutive Eigenvalues
• Some unsolved problems in the theory of differential equations and mathematical physics
• Can One Hear the Shape of a Drum? Revisited
• A Table of Ramanujan's Function τ(n )
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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