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Spectral optimization problems (Q644545)

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Language	Label	Description	Also known as
English	Spectral optimization problems	scientific article

Statements

scholarly article

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Spectral optimization problems (English)

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Revista Matemática Complutense

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publication date

4 November 2011

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full work available at URL

https://arxiv.org/abs/1012.3299

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zbMATH Keywords

optimization problems for eigenvalues

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shape optimization

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capacity

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integral functionals

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Sobolev spaces

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optimality conditions

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calculus of variations

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relaxation

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Giusseppe Buttazzo

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MaRDI profile type

MaRDI publication profile

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Shape optimization by the homogenization method

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Uniqueness of the Cheeger set of a convex body

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Functionals defined on partitions in sets of finite perimeter. I: Integral representation and Gamma-convergence

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An optimal design problem with perimeter penalization

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Neumann eigenvalue problems on exterior perturbations of the domain

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A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions

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An area-Dirichlet integral minimization problem

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Variational Analysis in Sobolev and<i>BV</i>Spaces

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Shape optimization problems for eigenvalues of elliptic operators

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Membranes élastiquement liées inhomogènes ou sur une surface: Une nouvelle extension de théorème isopérimétrique de Rayleigh-Faber- Krahn. (Inhomogeneously or on a surface elastically supported membranes: A new extension of the isoperimetric theorem of Rayleigh-Faber-Krahn)

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Optimal Partitions for Eigenvalues

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Regularity of optimal shapes for the Dirichlet's energy with volume constraint

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Lipschitz continuity of state functions in some optimal shaping

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Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints

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Continuous Steiner‐Symmetrization

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Continuous rearrangement and symmetry of solutions of elliptic problems

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Variational methods in shape optimization problems

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On the characterization of the compact embedding of Sobolev spaces

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On The Attainable Eigenvalues of the Laplace Operator

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Minimization of $\lambda_{2}(\Omega)$ with a perimeter constraint

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Quasistatic evolution in debonding problems via capacitary methods

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An alternative approach to the Faber-Krahn inequality for Robin problems

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A variational approach to the isoperimetric inequality for the Robin eigenvalue problem

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Minimization of the third eigenvalue of the Dirichlet Laplacian

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Shape optimisation problems governed by nonlinear state equations

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\(N\)-dimensional shape optimization under capacitary constraint

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Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions

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Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions

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An existence result for a class of shape optimization problems

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On some rescaled shape optimization problems

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An optimal partition problem for eigenvalues

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Analysis on the junctions of domain walls

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Uniqueness of the Cheeger set of a convex body

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An optimal partition problem related to nonlinear eigenvalues.

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Where Best to Hold a Drum Fast

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Direct methods in the calculus of variations

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An introduction to \(\Gamma\)-convergence

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Wiener's criterion and \(\Gamma\)-convergence

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A Faber-Krahn inequality for Robin problems in any space dimension

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Finely harmonic functions

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Sur la minimisation de la première valeur propre du Laplacien

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Minimization problems for eigenvalues of the Laplacian.

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Le stade ne minimise pas parmi les ouverts convexes du plan

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Minimizing the second eigenvalue of the Laplace operator with Dirichlet boundary conditions

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On the minimization of Dirichlet eigenvalues of the Laplace operator

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Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. I. Premiere partie: une demonstration de la conjecture isoperimetrique \(P\lambda^2\geq\pi j^4_0/2\) de Polya et Szegö

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Une méthode de comparaison isoperimetrique de fonctionnelles de domaines de la physique mathématique. II. Seconde partie: cas inhomogene: une inégalité isoperimetrique entre la frequence fondamentale d'une membrane et l'energie d'équilibre d'un problème de Poisson

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Numerical minimization of eigenmodes of a membrane with respect to the domain

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On the Ratio of Consecutive Eigenvalues

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An optimal Poincaré inequality for convex domains

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On the characteristic frequencies of a symmetric membrane

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On optimal shape design

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Elliptical Membranes with Smallest Second Eigenvalue

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Range of the first two eigenvalues of the laplacian

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Weakly Differentiable Functions

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Identifiers

zbMATH Open document ID

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10.1007/s13163-011-0066-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:644545

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