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math.AP2024
Solutions to the minimal surface system with large singular sets
Connor Mooney, Ovidiu Savin
Lawson and Osserman proved that the Dirichlet problem for the minimal surface system is not always solvable in the class of Lipschitz maps. However, it is known that minimizing seq…
math.AP2024★ 5 cited
Counterexamples to maximal regularity for operators in divergence form
Sebastian Bechtel, Connor Mooney, Mark Veraar
In this paper, we present counterexamples to maximal -regularity for a parabolic PDE. The example is a second-order operator in divergence form with space and time-dependent c…