Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound

Naber, Aaron
Valtorta, Daniele

May 2019

We complete the picture of sharp eigenvalue estimates for the $$p$$ p -Laplacian on a compact manifo...

Discretization of Compact Riemannian Manifolds Applied to the Spectrum of Laplacian

Mantuano, Tatiana

June 2018

For κ ⩾ 0 and r0 > 0 let ℳ(n, κ, r0) be the set of all connected, compact n-dimensional Riemannian m...

A universal bound for lower Neumann eigenvalues of the Laplacian

Lu, Wei
Mao, Jing
Wu, Chuanxi

January 2020

summary:Let $M$ be an $n$-dimensional ($n\ge 2$) simply connected Hadamard manifold. If the radial R...

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Hassannezhad, Asma
Kokarev, Gerasim
Polterovich, Iosif

January 2016

We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian ma...

Eigenvalues Estimate for the Neumann Problem ofaBounded Domain

Colbois, Bruno
Maerten, Daniel

June 2018

In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...

Eigenvalues estimate for the Neumann problem on bounded domains

Colbois, Bruno
Maerten, Daniel

February 2008

9 pages, submitted december 2007.In this note, we investigate upper bounds of the Neumann eigenvalue...

Estimates for eigenvalues on Riemannian manifolds

Cheng, Qing-Ming
Yang, Hongcang

October 2009

AbstractIn this paper, we investigate eigenvalues of the Dirichlet eigenvalue problem of Laplacian o...

Manifolds With Bounded Integral Curvature and no Positive Eigenvalue Lower Bounds

Anderson, Connor
Ramos Olivé, Xavier
Spinelli, Kamryn

November 2021

We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diam...

A note on Kuttler-Sigillito's inequalities

Hassannezhad, A.
Siffert, A.

January 2020

We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains...

Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature

Bakry, Dominique
Qian, Zhongmin

October 2000

AbstractWe generalise for a general symmetric elliptic operator the different notions of dimension, ...

On multiplicity bounds for Schrödinger eigenvalues on Riemannian surfaces

Kokarev, G

October 2014

A classical result by Cheng in 1976, improved later by Besson and Nadirashvili, says that the multip...

Comparison theorems for the principal eigenvalue of the Laplacian.

Raad, Yasmine

September 2011

We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, ﬁrst ...

Lower Bound Estimates of the First Eigenvalue for Compact Manifolds with Positive Ricci Curvature

Dagang Yang
Dagang Yang

January 1996

We present some new lower bound estimates of the first eigenvalue for compact manifolds with positiv...

Explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds

Rutkowski, Benjamin
Seto, Shoo

July 2022

We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...

New eigenvalue estimates involving Bessel functions

El Chami, Fida
Habib, Georges
Ginoux, Nicolas

January 2021

Given a compact Riemannian manifold (Mn, g) with boundary ∂M, we give an estimate for the quotient R...

Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound

Naber, Aaron
Valtorta, Daniele

May 2019

We complete the picture of sharp eigenvalue estimates for the $$p$$ p -Laplacian on a compact manifo...

Discretization of Compact Riemannian Manifolds Applied to the Spectrum of Laplacian

Mantuano, Tatiana

June 2018

For κ ⩾ 0 and r0 > 0 let ℳ(n, κ, r0) be the set of all connected, compact n-dimensional Riemannian m...

A universal bound for lower Neumann eigenvalues of the Laplacian

Lu, Wei
Mao, Jing
Wu, Chuanxi

January 2020

summary:Let $M$ be an $n$-dimensional ($n\ge 2$) simply connected Hadamard manifold. If the radial R...

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

Hassannezhad, Asma
Kokarev, Gerasim
Polterovich, Iosif

January 2016

We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian ma...

Eigenvalues Estimate for the Neumann Problem ofaBounded Domain

Colbois, Bruno
Maerten, Daniel

June 2018

In this note, we investigate upper bounds of the Neumann eigenvalue problem for the Laplacian of a d...

Eigenvalues estimate for the Neumann problem on bounded domains

Colbois, Bruno
Maerten, Daniel

February 2008

9 pages, submitted december 2007.In this note, we investigate upper bounds of the Neumann eigenvalue...

Estimates for eigenvalues on Riemannian manifolds

Cheng, Qing-Ming
Yang, Hongcang

October 2009

AbstractIn this paper, we investigate eigenvalues of the Dirichlet eigenvalue problem of Laplacian o...

Manifolds With Bounded Integral Curvature and no Positive Eigenvalue Lower Bounds

Anderson, Connor
Ramos Olivé, Xavier
Spinelli, Kamryn

November 2021

We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diam...

A note on Kuttler-Sigillito's inequalities

Hassannezhad, A.
Siffert, A.

January 2020

We provide several inequalities between eigenvalues of some classical eigenvalue problems on domains...

Some New Results on Eigenvectors via Dimension, Diameter, and Ricci Curvature

Bakry, Dominique
Qian, Zhongmin

October 2000

AbstractWe generalise for a general symmetric elliptic operator the different notions of dimension, ...

On multiplicity bounds for Schrödinger eigenvalues on Riemannian surfaces

Kokarev, G

October 2014

A classical result by Cheng in 1976, improved later by Besson and Nadirashvili, says that the multip...

Comparison theorems for the principal eigenvalue of the Laplacian.

Raad, Yasmine

September 2011

We study the Faber - Krahn inequality for the Dirichlet eigenvalue problem of the Laplacian, ﬁrst ...

Lower Bound Estimates of the First Eigenvalue for Compact Manifolds with Positive Ricci Curvature

Dagang Yang
Dagang Yang

January 1996

We present some new lower bound estimates of the first eigenvalue for compact manifolds with positiv...

Explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds

Rutkowski, Benjamin
Seto, Shoo

July 2022

We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...

New eigenvalue estimates involving Bessel functions

El Chami, Fida
Habib, Georges
Ginoux, Nicolas

January 2021

Given a compact Riemannian manifold (Mn, g) with boundary ∂M, we give an estimate for the quotient R...

Sharp estimates on the first eigenvalue of the $$p$$ p -Laplacian with negative Ricci lower bound

Naber, Aaron
Valtorta, Daniele

May 2019

We complete the picture of sharp eigenvalue estimates for the $$p$$ p -Laplacian on a compact manifo...

Discretization of Compact Riemannian Manifolds Applied to the Spectrum of Laplacian

Mantuano, Tatiana

June 2018

For κ ⩾ 0 and r0 > 0 let ℳ(n, κ, r0) be the set of all connected, compact n-dimensional Riemannian m...

A universal bound for lower Neumann eigenvalues of the Laplacian

Lu, Wei
Mao, Jing
Wu, Chuanxi

January 2020

summary:Let $M$ be an $n$-dimensional ($n\ge 2$) simply connected Hadamard manifold. If the radial R...

Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound

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