Sharp gradient estimate and spectral rigidity for $p$-Laplacian

Sharp bounds for the signless Laplacian spectral radius of digraphs

A New Characterization of the Cr Sphere and the Sharp Eigenvalue Estimate for the Kohn Laplacian

Preconditioned Hybrid Conjugate Gradient Algorithm for P-laplacian

In this paper, a hybrid conjugate gradient algorithm with weighted preconditioner is proposed. The algorithm can efficiently solve the minimizing problem of general function deriving from finite element discretization of the p-Laplacian. The algorithm is efficient, and its convergence rate is meshindependent. Numerical experiments show that the hybrid conjugate gradient direction of the algorit...

Se p 20 12 Sharp Bounds for the Signless Laplacian Spectral Radius in Terms of Clique Number ∗

In this paper, we present a sharp upper and lower bounds for the signless Laplacian spectral radius of graphs in terms of clique number. Moreover, the extremal graphs which attain the upper and lower bounds are characterized. In addition, these results disprove the two conjectures on the signless Laplacian spectral radius in [P. Hansen and C. Lucas, Bounds and conjectures for the signless Lapla...

LOCAL GRADIENT ESTIMATE FOR p-HARMONIC FUNCTIONS ON RIEMANNIAN MANIFOLDS

For positive p-harmonic functions on Riemannian manifolds, we derive a gradient estimate and Harnack inequality with constants depending only on the lower bound of the Ricci curvature, the dimension n, p and the radius of the ball on which the function is de…ned. Our approach is based on a careful application of the Moser iteration technique and is di¤erent from Cheng-Yau’s method [2] employed ...