Results 21 to 30 of about 47 (47)

An eigenvalue estimate for self-shrinkers in a Ricci shrinker

Advanced Nonlinear Studies
In this paper, we study the drifted Laplacian Δf on a hypersurface M in a Ricci shrinker (M̄,g,f) $\left(\bar{M},g,f\right)$ . We prove that the spectrum of Δf is discrete for immersed hypersurfaces with bounded weighted mean curvature in a Ricci ...
Conrado Franciele, Zhou Detang
doaj   +1 more source

Characters and transfer maps via categorified traces

Forum of Mathematics, Sigma
We develop a theory of generalized characters of local systems in $\infty $ -categories, which extends classical character theory for group representations and, in particular, the induced character formula.
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi, Lior Yanovski   +3 more
doaj   +1 more source

Bounds for the sum of the first k-eigenvalues of Dirichlet problem with logarithmic order of Klein-Gordon operators

Advances in Nonlinear Analysis
We provide bounds for the sequence of eigenvalues {λi(Ω)}i{\left\{{\lambda }_{i}\left(\Omega )\right\}}_{i} of the Dirichlet problem (I−Δ)lnu=λuinΩ,u=0inRN\Ω,{\left(I-\Delta )}^{\mathrm{ln}}u=\lambda u\hspace{1em}{\rm{in}}\hspace{0.33em}\Omega ,\hspace{1.
Chen Huyuan, Cheng Li
doaj   +1 more source

Reilly type inequalities for eigenvalues of the buckling problem on compact Riemannian manifolds

Demonstratio Mathematica
In this paper, we firstly study the two types of buckling problem of the biharmonic operator and get some Reilly type lower bound estimates for the first nonzero eigenvalue of these eigenvalue problems on compact Riemannian manifolds with boundary ...
Li Yanli, Du Feng, Xia Changyu
doaj   +1 more source

Minimizing Schrödinger eigenvalues for confining potentials

Advanced Nonlinear Studies
We consider the problem of minimizing the lowest eigenvalue of the Schrödinger operator −Δ + V in L2(Rd) ${L}^{2}({\mathbb{R}}^{d})$ when the integral ∫e −tV  dx is given for some t > 0. We show that the eigenvalue is minimal for the harmonic oscillator
Frank Rupert L.
doaj   +1 more source

On some new spectral estimates for Schrödinger-like operators

Open Mathematics, 2006
Levin Daniel
doaj   +1 more source

A spectral estimate for the Dirac operator on Riemannian flows

Open Mathematics, 2010
Ginoux Nicolas, Habib Georges
doaj   +1 more source

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On the asymptotic behaviour of the eigenvalues of a Robin problem

Differential and Integral Equations, 2010
James Kennedy, Daniel Daners
exaly  

The spectrum of the Laplacian on a manifold of negative curvature. I

Journal of Differential Geometry, 1978
Mark A Pinsky
exaly  

A positive density analogue of the Lieb–Thirring inequality

Duke Mathematical Journal, 2013
Elliott Lieb, Rupert Frank, Mathieu Lewin   +2 more
exaly