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ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
SHRINKING RICCI SOLITONS CONFORMALLY FLAT
2015/8/17
In this paper, we first apply an integral identity on Ricci solitons to prove that
closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
We then ge...
A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method
2015/7/8
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
A SINGULAR p-LAPLACIAN ELLIPTIC PROBLEM WITH p-GROWTH IN THE GRADIENT
p-Laplace singularity p-growth existence asymptotic behavior
2008/11/26
In the paper we consider the homogenous Dirichlet boundary value problem for a
singular p-Laplacian elliptic equation with p-growth in the gradient. The existence
and asymptotic behavior of solution...