On some geometrical eigenvalue inverse problems involving the \(p\)-Laplacian operator

DOI10.1007/S40314-024-02855-8MaRDI QIDQ6590197

Ibrahim Khalil, A. Chakib

Publication date: 21 August 2024

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

nonlinear eigenvalue problemshape optimizationgradient methodvolume constraintshape derivative\(p\)-Laplacian-Dirichlet operatorinverse power algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Discrete approximations in optimal control (49M25) Numerical methods in optimal control (49Mxx)

Cites Work

• Title not available (Why is that?)
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• Optimisation of eigenvalues of the Dirichlet Laplacian with a surface area restriction
• Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum
• Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method
• Optimal treatment of structures
• Regularity for a class of nonlinear elliptic systems
• Shape variation and optimization. A geometrical analysis
• Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives
• \(N\)-dimensional shape optimization under capacitary constraint
• Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions
• Minimizing eigenvalues for inhomogeneous rods and plates
• Optimal shape design for the \(p\)-Laplacian eigenvalue problem
• Eigenvalue problems for the \(p\)-Laplacian
• Some observations on the first eigenvalue of the \(p\)-Laplacian and its connections with asymmetry
• On the perturbation of eigenvalues for the \(p\)-Laplacian
• Qualitative and numerical analysis of a spectral problem with perimeter constraint
• Maximal and minimal norm of Laplacian eigenfunctions in a given subdomain
• Convergence of Inverse Power Method for First Eigenvalue of p-Laplace Operator
• Shape optimization and spectral theory
• Shapes and Geometries
• Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
• Remarks on uniqueness results of the first eigenvalue of the p-Laplacian
• Comments on the validity of a common category of constitutive equations
• Shape optimisation problems governed by nonlinear state equations
• New development in freefem++
• Extremal p -Laplacian eigenvalues
• An eigenvalue optimization problem for the p-Laplacian
• Eigenfrequency optimization in optimal design

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