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An inequality for Steklov eigenvalues for planar domains

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Publication:1332259
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DOI10.1007/BF00945933zbMath0868.35078MaRDI QIDQ1332259

Julian Edward

Publication date: 8 September 1994

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


zbMATH Keywords

Neumann operator


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


Related Items (6)

The first Steklov eigenvalue, conformal geometry, and minimal surfaces ⋮ On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues ⋮ Upper bounds for the first non-zero Steklov eigenvalue via anisotropic mean curvatures ⋮ A Reilly inequality for the first non-zero eigenvalue of a class of operators on Riemannian manifold ⋮ A Reilly inequality for the first Steklov eigenvalue ⋮ Steklov eigenvalues and quasiconformal maps of simply connected planar domains



Cites Work

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  • Stekloffsche Eigenwerte und konforme Abbildungen. (Stekloff eigenvalues and conformal mappings)
  • An inverse spectral result for the Neumann operator on planar domains
  • Inequalities for membrane and Stekloff eigenvalues


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