Gradient estimates for Yamabe type equations under different curvature conditions and applications

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Second-order parabolic equations (35K10) PDEs on manifolds (35R01)

Cites Work

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Li-Yau-Hamilton estimates and Bakry-Emery-Ricci curvature
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Comparison geometry for the Bakry-Emery Ricci tensor
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Conformal deformation of a Riemannian metric to constant scalar curvature
On the parabolic kernel of the Schrödinger operator
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A Liouville-type theorem for smooth metric measure spaces
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The Yamabe problem
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Neumann Li-Yau gradient estimate under integral Ricci curvature bounds
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Elliptic-type gradient estimate for Schrödinger equations on noncompact manifolds
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