Eigenvalue problems in convex sets

Erich Miersemann

Displaying similar documents to “Eigenvalue problems in convex sets”

Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

Dependence of a differential equation on the first eigenvalue of a suitable problem

Jan Bochenek (1980)

Annales Polonici Mathematici

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Note On H-Convex Functions

Rade Živaljević (1979)

Publications de l'Institut Mathématique

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A remark on certain close-to-convex functions

S. Owa, L. Liu, Wancang Ma (1989)

Matematički Vesnik

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A Note on Sets of Constant Width

Siniša Vrećica (1981)

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On an Inequality of P.m. Vasić and R.r. Janić

Josip E. Pečarić (1980)

Publications de l'Institut Mathématique

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Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Behrouz Emamizadeh, Amin Farjudian (2014)

Nonautonomous Dynamical Systems

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In this paper we consider a parametric eigenvalue problem related to a vibrating string which is constructed out of two different materials. Using elementary analysis we show that the corresponding principal eigenvalue is increasing with respect to the parameter. Using a rearrangement technique we recapture a part of our main result, in case the difference between the densities of the two materials is sufficiently small. Finally, a simple numerical algorithm will be presented which will...

On some generalization of α-convex functions

Zyskowski, Janusz (2015-11-13T12:11:38Z)

Acta Universitatis Lodziensis. Folia Mathematica

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A Subclass Of Close-To-Convex Functions

H. R. Abdel-Gawad, D. K. Thomas (1991)

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Convex hulls of polyominoes.

Kurz, Sascha (2008)

Beiträge zur Algebra und Geometrie

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On the nodal set of the second eigenfunction of the laplacian in symmetric domains in $R^{N}$

Lucio Damascelli (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We present a simple proof of the fact that if $Ω$ is a bounded domain in $R^{N}$ , $N \geq 2$ , which is convex and symmetric with respect to $k$ orthogonal directions, $1 \leq k \leq N$ , then the nodal sets of the eigenfunctions of the laplacian corresponding to the eigenvalues $λ_{2}, \dots, λ_{k + 1}$ must intersect the boundary. This result was proved by Payne in the case $N = 2$ for the second eigenfunction, and by other authors in the case of convex domains in the plane, again for the second eigenfunction.