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Extremal <i>p</i> -Laplacian eigenvalues (Q5243481)

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scientific article; zbMATH DE number 7131181

Language	Label	Description	Also known as
English	Extremal <i>p</i> -Laplacian eigenvalues	scientific article; zbMATH DE number 7131181

Statements

scholarly article

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Extremal <i>p</i> -Laplacian eigenvalues (English)

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Pedro R. S. Antunes

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publication date

18 November 2019

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zbMATH Keywords

\(p\)-Laplacian

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eigenvalues

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shape optimization

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1088/1361-6544/ab47c5

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The Method of Fundamental Solutions Applied to Some Inverse Eigenproblems

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Numerical optimization of low eigenvalues of the Dirichlet and Neumann laplacians

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Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction

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Numerical calculation of eigensolutions of 3D shapes using the method of fundamental solutions

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Is it possible to tune a drum?

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Mollification formulas and implicit smoothing

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The eigenvalues of the Laplacian with Dirichlet boundary condition in \(\mathbb {R}^2\) are almost never minimized by disks

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Reviving the Method of Particular Solutions

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Variational and non-variational eigenvalues of the \(p\)-Laplacian

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On the Hong-Krahn-Szego inequality for the \(p\)-Laplace operator

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Qualitative and Numerical Analysis of a Spectral Problem with Perimeter Constraint

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An inequality à la Szegő–Weinberger for the p-Laplacian on convex sets

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Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian

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

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Asymptotic behaviour of optimal spectral planar domains with fixed perimeter

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Minimization of the third eigenvalue of the Dirichlet Laplacian

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Spectral convergence of multiquadric interpolation

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Exponential convergence andH-c multiquadric collocation method for partial differential equations

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The beginning of the Fučik spectrum for the \(p\)-Laplacian

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Shapes and Geometries

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Existence and regularity of minimizers for some spectral functionals with perimeter constraint

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On a Nonlinear Parabolic Problem Arising in Some Models Related to Turbulent Flows

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On variational eigenvalues of the <i>p</i> -Laplacian which are not of Ljusternik-Schnirelmann type

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The Neumann eigenvalue problem for the \(\infty\)-Laplacian

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The longest shortest fence and sharp Poincaré-Sobolev inequalities

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Improved multiquadric method for elliptic partial differential equations via PDE collocation on the boundary

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Solving PDEs with radial basis functions

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A numerical study of some radial basis function based solution methods for elliptic PDEs

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Stable Computations with Gaussian Radial Basis Functions

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A Stable Algorithm for Flat Radial Basis Functions on a Sphere

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On the perturbation of eigenvalues for the -Laplacian

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Maximization of the second positive Neumann eigenvalue for planar domains

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Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology

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Variation and optimization of formes. A geometric analysis

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Numerical investigation of the smallest eigenvalues of the p-Laplace operator on planar domains

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Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates

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Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations

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Improved accuracy of multiquadric interpolation using variable shape parameters

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On a familiy of torsional creep problems.

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Representation of the eigenvalues of the <i>p</i> ‐Laplacian by means of a surface integral

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Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions

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Eigenvalue problems for the \(p\)-Laplacian

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Comparison of approximate shape gradients

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Distributed shape derivative<i>via</i>averaged adjoint method and applications

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Boundary regularity for solutions of degenerate elliptic equations

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Eigenvalue estimates for the \(p\)-Laplace operator on manifolds

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On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0

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Existence of minimizers for spectral problems

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

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Minimal Convex Combinations of Sequential Laplace--Dirichlet Eigenvalues

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How fast do radial basis function interpolants of analytic functions converge?

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Computing eigenmodes of elliptic operators using radial basis functions

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An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation

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Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree

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Range of the first two eigenvalues of the laplacian

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Numerical Methods for Computing Nonlinear Eigenpairs: Part I. Iso-Homogeneous Cases

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Identifiers

zbMATH Open document ID

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10.1088/1361-6544/ab47c5

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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:5243481

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