Let $\Sigma$ be a complete Riemannian manifold with the volume doubling property and the uniform Neumann-Poincar$\mathrm{\acute{e}}$ inequality. We show that any positive minimal graphic function on $\Sigma$ is a constant.
Gradient estimate for solutions of the equation $Δ_pu +av^{q}=0$ on a complete Riemannian manifold
On conjugate points and geodesic loops in a complete Riemannian manifold
Quantitative C^1 - estimates on manifolds
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