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math.DG2023★ 4 cited
On minimal graphs of sublinear growth over manifolds with non-negative Ricci curvature
Giulio Colombo, Luciano Mari, Marco Rigoli
We prove that entire solutions of the minimal hypersurface equation \[ \mathrm{div}\left(\frac{Du}{\sqrt{1+|Du|^2}}\right) = 0 \] on a complete manifold with ,…
math.AP2023
Growth of subsolutions of and of a general class of quasilinear equations
Luis J. Alias, Giulio Colombo, Marco Rigoli
In this paper we prove some integral estimates on the minimal growth of the positive part of subsolutions of quasilinear equations \[ \mathrm{div} A(x,u,\nabla u) = V|u|^{p-2…