Isoperimetric Inequalities for Eigenvalues of the Laplacian

By M. Ashbaugh, R. Benguria. 2007

67 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0e13af40b3910be95b473ea209a6de84d9774d33

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Alessandro Giacomini
2. Dorin Bucur
3. Daniel Daners
4. Wolfgang Arendt
5. Antoine Henrot
6. Mahamadi Warma
7. Binh T. Nguyen
8. Denis S. Grebenkov

In Geometry and Topology

1. Daniel Daners
2. Dorin Bucur
3. Alessandro Giacomini

In Mathematical Physics

1. Alessandro Giacomini
2. Dorin Bucur
3. Daniel Daners
4. Antoine Henrot

Citations in the corpus

• Sharp Stability of Some Spectral Inequalities (2012, unknown): “Indeed, these are given by (see [1]) ξi(x) := |x|1− N 2 JN/2 ( βN/2,1|x| r ) xi |x| , i = 1, .”
• Domain Perturbation for Linear and Semi-Linear Boundary Value Problems (2008, methodology): “A recent collection of such inequality for which the technique could be applied appears in [18].”
• Faber–Krahn Inequalities for the Robin-Laplacian: A Free Discontinuity Approach (2015, background): “Following the review paper [25] (see also [3]), Lord Rayleigh was motivated in his conjecture by the study of the principal frequency of vibration of a plane elastic membrane fixed at its boundary, stating that the circular shape has the lowest mode of vibration (and giving some evidence of it).”