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math.AP2022
Gradient estimates for quasilinear elliptic Neumann problems with unbounded first-order terms
Marco Cirant, Alessandro Goffi, Tommaso Leonori
This paper studies global a priori gradient estimates for divergence-type equations patterned over the -Laplacian with first-order terms having polynomial growth with respect to…
math.AP2022
A priori Lipschitz estimates for nonlinear equations with mixed local and nonlocal diffusion via the adjoint-Bernstein method
Alessandro Goffi
We establish a priori Lipschitz estimates for equations with mixed local and nonlocal diffusion, coercive gradient terms and unbounded right-hand side in Lebesgue spaces through an…
math.AP2022
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms
Alessandro Goffi
This note studies local integral gradient bounds for distributional solutions of a large class of partial differential inequalities with diffusion in divergence form and power-like…