This article presents new parabolic and elliptic type gradient estimates for positive smooth
solutions to nonlinear parabolic equations involving the Witten Laplacian in the context of …

This article presents new local and global gradient estimates of Li-Yau type for positive
solutions to a class of nonlinear elliptic equations on smooth metric measure spaces …

In this paper we prove gradient estimates of both elliptic and parabolic types, specifically, of
Souplet-Zhang, Hamilton and Li-Yau types for positive smooth solutions to a class of …

Given a complete, smooth metric measure space (M, g, e^-f dv)(M, g, e-fdv) with the Bakry–
Émery Ricci curvature bounded from below, various gradient estimates for solutions of the …

In this paper, we study symmetry properties of positive solutions to the fractional Laplace
equation with negative powers on the whole space. We can use the direct method of moving …

In this paper, we consider the weighted $ p $-Laplacian Lichnerowicz equation\begin
{equation*}\triangle _ {p, f} u+ cu^{\sigma}= 0\end {equation*} on smooth metric measure …

We establish the necessary and sufficient conditions for constructing gradient Einstein-type
warped metrics. One of these conditions leads us to a general Lichnerowicz equation with …

We study the positive solutions to a class of general semilinear elliptic equations Δ u (x)+ uh
(ln⁡ u)= 0 defined on a complete Riemannian manifold (M, g) with Ric⁡(g)≥− K g, and …

Liouville Theorem for Lichnerowicz Equation on Complete Noncompact Manifolds Page 1
Funkcialaj Ekvacioj, 57 (2014) 163–172 Liouville Theorem for Lichnerowicz Equation on Complete …

Ö f ¡Ö. u Ö³Öu au log u qu a ¾ R, Page 1 Zhao, L. Osaka J. Math. 51 (2014), 245–256
GRADIENT ESTIMATES FOR A SIMPLE PARABOLIC LICHNEROWICZ EQUATION LIANG …