Maximization of higher order eigenvalues and applications

zbMath1335.35167arXiv1504.07465MaRDI QIDQ2803000

Yannick Sire, Nikolai S. Nadirashvili

Publication date: 3 May 2016

Full work available at URL: https://arxiv.org/abs/1504.07465

zbMATH Keywords

eigenvaluesisoperimetric inequalities

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Related Items (10)

On a new functional for extremal metrics of the conformal Laplacian in high dimensions ⋮ Degenerating sequences of conformal classes and the conformal Steklov spectrum ⋮ Some recent developments on the Steklov eigenvalue problem ⋮ Spaces of harmonic maps of the projective plane to the four-dimensional sphere ⋮ Extremal eigenvalues of the conformal Laplacian under Sire-Xu normalization ⋮ Isoperimetric inequalities for higher eigenvalues of the Laplace-Beltrami operator on surfaces ⋮ An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane ⋮ An isoperimetric inequality for Laplace eigenvalues on the sphere ⋮ Variational properties of the second eigenvalue of the conformal Laplacian ⋮ Existence of metrics maximizing the first eigenvalue on non-orientable surfaces

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