Some remarks on the elastically supported membrane

DOI10.1007/BF01601525zbMath0378.73069OpenAlexW1978977192MaRDI QIDQ1247051

G. A. Philippin

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01601525

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Membranes (74K15) Elliptic equations and elliptic systems (35J99)

Related Items (3)

Generalization of Philippin's results for the first Robin eigenvalue and estimates for eigenvalues of the bi-drifting Laplacian ⋮ On the lowest eigenvalue of Laplace operators with mixed boundary conditions ⋮ Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature

Cites Work

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• Maximum principles for some functionals associated with the solution of elliptic boundary value problems
• On the domain monotonicity of the first eigenvalue of a boundary value problem
• Untere und obere Schranken für den tiefsten Eigenwert der elastisch gestützten Membran
• On the mean value of the fundamental mode in the fixed membrane problem
• On Some Maximum Principles Involving Harmonic Functions and Their Derivatives
• A Remark on Linear Elliptic Differential Equations of Second Order

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