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

DOI10.1007/s00245-015-9304-6zbMath1339.35338OpenAlexW751680537MaRDI QIDQ282078

Pedro Freitas, Pedro R. S. Antunes

Publication date: 12 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00245-015-9304-6

zbMATH Keywords

eigenvaluesoptimisationDirichlet Laplacian

Mathematics Subject Classification ID

Periodic solutions of integral equations (45M15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) PDEs in connection with control and optimization (35Q93) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

Parametric shape optimization using the support function, TRIANGLES CAPTURING MANY LATTICE POINTS, Shifted lattices and asymptotically optimal ellipses, Bounds and extremal domains for Robin eigenvalues with negative boundary parameter, Asymptotic behaviour of extremal averages of Laplacian eigenvalues, Computational Methods for Extremal Steklov Problems, MINIMIZING DIRICHLET EIGENVALUES ON CUBOIDS OF UNIT MEASURE, Qualitative and Numerical Analysis of a Spectral Problem with Perimeter Constraint, Maximising Neumann eigenvalues on rectangles, Extremal p -Laplacian eigenvalues

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