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20112026
most citedLower Bounds for Laplacian and Fractional Laplacian Eigenvalues

1 citations · 1 across the 4 of their papers we have counts for

collaborators

6 papers

q-bio.PE2026

Keep on growing or change direction? Dependence of clonal plant survival on the probability of side-branching

Róbert Juhász, Beáta Oborny

In clonal organisms, the genetic individual (genet) may consist of several physiological individuals (ramets). Clonal plants typically grow horizontally by means of stolons or othe…

math.DG2021

On the finiteness of the Morse index of self-shrinkers

Xu-Yong Jiang, He-Jun Sun, Peibiao Zhao

In this paper, we present a sufficient condition for finite Morse index of complete properly self-shrinkers. We prove that a complete properly embedded self-shrinker in $\mathbb{R}…

cs.DS2018

Hermitian Laplacians and a Cheeger inequality for the Max-2-Lin problem

Huan Li, He Sun, Luca Zanetti

We study spectral approaches for the MAX-2-LIN(k) problem, in which we are given a system of linear equations of the form , and required to find…

math-ph2014

The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator

Daguang Chen, He-Jun Sun

In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results i…

math.DG2011

Estimates for lower bounds of eigenvalues of the poly-Laplacian and quadratic polynomial operator of the Laplacian

Qing-Ming Cheng, He-Jun Sun, Guoxin Wei +1

In this paper, we investigate the Dirchlet eigenvalue problems of poly-Laplacian with any order and quadratic polynomial operator of the Laplacian. We give some estimates for lower…

math.DG2011★ 1 cited

Lower Bounds for Laplacian and Fractional Laplacian Eigenvalues

Guoxin Wei, He-Jun Sun, Lingzhong Zeng

In this paper, we investigate eigenvalues of Laplacian on a bounded domain in an -dimensional Euclidean space and obtain a sharper lower bound for the sum of its eigenvalues, wh…