Gradient estimates for a simple elliptic equation on complete non-compact Riemannian manifolds ✩

By Li Ma. 2006

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Gradient estimates for a nonlinear parabolic equation on complete non-compact Riemannian manifolds (2009, background): “is closely related to the famous Gross Logarithmic Sobolev inequality and gradient Ricci solitons (see [ 9 ]).”
Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds (2008, background): “on M × [0, +∞), where a, b are two real constants and f is a smooth real-valued function on M . Here, we do not introduce the importance to study the elliptic equation (1.1), the readers who are interested in it see [4, 12 ,19].”
Gradient Estimates for the Porous Medium Equations on Riemannian Manifolds (2011, background): “For the related research and improvement in this direction, see [2, 3, 5–7, 11, 14–16] and the references therein.”
Properties of positive solutions of an Elliptic Equation with negative exponents (2007, background): “One may see [13] and [ 21 ] for related results.”