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math.AP2022
Borderline global regularity for nonuniformly elliptic systems
Cristiana De Filippis, Mirco Piccinini
We establish sharp global regularity results for solutions to nonhomogeneous, nonunifomrly elliptic systems with zero boundary conditions. In particular, we obtain everywhere Lipsc…
math.AP2022★ 1 cited
Singular multiple integrals and nonlinear potentials
Cristiana De Filippis, Bianca Stroffolini
We prove sharp partial regularity criteria of nonlinear potential theoretic nature for the Lebesgue-Serrin-Marcellini extension of nonhomogeneous singular multiple integrals featur…