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math.AP2024
Maximum principles for weakly -coercive operators with applications to capillary and prescribed mean curvature graphs
Luis J. Alías, Giulio Colombo, Marco Rigoli
In this paper we establish maximum principles for weakly 1-coercive operators on complete, non-compact Riemannian manifolds . In particular, we search for conditions under w…
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…