A Comparison Theorem and A Sharp Bound via the Ricci Flow [PDF]
arXiv, 2007 We prove a comparison theorem for the compact surfaces with negative Euler characteristic via the Ricci flow.
arxiv
Extrema de valeurs propres dans une classe conforme [PDF]
Semin. theor. spectr. geom., Vol. 24, p. 23-42, 2007, 2008 Survey about extremum of eigenvalues of geometric operators within a conformal class of a compact riemannian manifold.
arxiv
A lower bound for eigenvalues of a clamped plate problem [PDF]
arXiv, 2009 In this paper, we study eigenvalues of a clamped plate problem. We obtain a lower bound for eigenvalues, which gives an important improvement of results due to Levine and Protter.
arxiv
A technique for non-intrusive greedy piecewise-rational model reduction of frequency response problems over wide frequency bands. [PDF]
J Math Ind, 2022 Pradovera D, Nobile F.
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Lower bounds for the spectrum of the Laplace and Stokes operators [PDF]
arXiv, 2009 We prove Berezin--Li--Yau-type lower bounds with additional term for the eigenvalues of the Stokes operator and improve the previously known estimates for the Laplace operator. Generalizations to higher-order operators are given.
arxiv
Eigenvalue estimates for the higher order buckling problem [PDF]
arXiv, 2009 In this paper, we consider lower order eigenvalues of Laplacian operator with any order in Euclidean domains. By choosing special rectangular coordinates, we obtain two estimates for lower order eigenvalues.
arxiv
Simultaneous Cervical and Lumbar Spinal Cord Stimulation Induces Facilitation of Both Spinal and Corticospinal Circuitry in Humans. [PDF]
Front Neurosci, 2021 Parhizi B, Barss TS, Mushahwar VK.
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Negative eigenvalues of two-dimensional Schrödinger operators [PDF]
arXiv, 2011 We prove a certain upper bound for the number of negative eigenvalues of the Schr\"{o}dinger operator on the plane.
arxiv
Multiplicity of the lowest eigenvalue of non-commuatative harmonic oscillators [PDF]
arXiv, 2012 The multiplicity of the lowest eigenvalue E of the so-called non-commutative harmonic oscillator Q(\alpha,\beta) is studied. It is shown that E is simple for \alpha and \beta in some region.
arxiv
Hardy Inequalities in General Domains [PDF]
arXiv, 2013 Key Words: Hardy inequalities, Sobolev inequalities, Morrey inequality, distance function, mean curvature, best constants, semi-concavity, sets with positive reach, mean convex sets, Cheeger constant, modulus of ...
arxiv