On the principal frequency of a convex membrane and related problems
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Publication:3252465
DOI10.21136/CMJ.1959.100341zbMath0084.20704OpenAlexW2997106392MaRDI QIDQ3252465
Publication date: 1959
Full work available at URL: https://eudml.org/doc/11967
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A shape optimization problem on planar sets with prescribed topology ⋮ Analogs of the Pólya-Szegő and Makai inequalities for the Euclidean moment of inertia of a convex domain ⋮ Upper bounds for the eigenvalues of Hessian equations ⋮ An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit ⋮ On reverse Faber-Krahn inequalities ⋮ A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundary ⋮ A generalization of the method of interior parallels, and isoperimetric inequalities for membranes with partially free boundaries ⋮ Some isoperimetric inequalities for membrane frequencies and torsional rigidity ⋮ Sharp estimates for the first p-Laplacian eigenvalue and for the p-torsional rigidity on convex sets with holes ⋮ On torsional rigidity and ground-state energy of compact quantum graphs
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