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math.AP2023
Global gradient regularity and a Hopf lemma for quasilinear operators of mixed local-nonlocal type
Carlo Alberto Antonini, Matteo Cozzi
We address some regularity issues for mixed local-nonlocal quasilinear operators modeled upon the sum of a -Laplacian and of a fractional -Laplacian. Under suitable assu…
math.AP2023
A quantitative version of the Gidas-Ni-Nirenberg Theorem
Giulio Ciraolo, Matteo Cozzi, Matteo Perugini +1
A celebrated result by Gidas, Ni & Nirenberg asserts that classical positive solutions to semilinear equations in a ball vanishing at the boundary must be radial and…