On the first eigenfunction of the fixed membrane: Some extensions of results of Payne and Stakgold

DOI10.1007/BF01590715zbMath0354.35036OpenAlexW2033756785MaRDI QIDQ1236712

G. A. Philippin

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1007/bf01590715

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (1)

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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• Reflection principles for linear elliptic second order partial differential equations with constant coefficients
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• On two conjectures in the fixed membrane eigenvalue problem
• On the mean value of the fundamental mode in the fixed membrane problem
• On Hopf type maximum principles for convex domains
• A Remark on Linear Elliptic Differential Equations of Second Order
• Generalized axially symmetric potential theory

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