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Some isoperimetric norm bounds for the first eigenfunction of wedge-like membranes

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Publication:1236711
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DOI10.1007/BF01591165zbMath0354.35035OpenAlexW2020311180MaRDI QIDQ1236711

G. A. Philippin

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1007/bf01591165



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 (2)

A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains ⋮ Isoperimetric inequalities for a wedge-like membrane



Cites Work

  • Unnamed Item
  • Methods of intermediate problems for eigenvalues. Theory and ramifications
  • An isoperimetric inequality for the first eigenfunction in the fixed membrane problem
  • Some isoperimetric norm bounds for solutions of the Helmholtz equation
  • A Faber-Krahn Inequality for Wedge-Like Membranes




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