Some inequalities involving eigenvalues of the Neumann Laplacian

DOI10.1002/mma.2743zbMath1276.35121OpenAlexW2011087511MaRDI QIDQ2857945

G. A. Philippin, Cristian Enache

Publication date: 19 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2743

zbMATH Keywords

eigenvaluesconformal mappingisoperimetric inequalitiesmoments of inertiaBessel functions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms ⋮ On some isoperimetric inequalities involving eigenvalues of symmetric free membranes ⋮ On some isoperimetric inequalities involving eigenvalues of fixed membranes ⋮ A universal bound for lower Neumann eigenvalues of the Laplacian ⋮ Szegö--Weinberger Type Inequalities for Symmetric Domains with Holes

Cites Work

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• Convexity of functionals by transplantation
• On the range of the first two Dirichlet and Neumann eigenvalues of the Laplacian
• Some isoperimetric inequalities with application to the Stekloff problem
• Maximizing Neumann fundamental tones of triangles
• Bounds and Monotonicities for the Zeros of Derivatives of Ultraspherical Bessel Functions
• Universal Bounds for the Low Eigenvalues of Neumann Laplacians inNDimensions

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