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math.AP2023
Generic properties in free boundary problems
Xavier Fernández-Real, Hui Yu
In this work, we show the generic uniqueness of minimizers for a large class of energies, including the Alt-Caffarelli and Alt-Phillips functionals. We then prove the generic regul…
math.AP2023
Solutions to the nonlinear obstacle problem with compact contact sets
Simon Eberle, Hui Yu
For the obstacle problem with a nonlinear operator, we characterize the space of global solutions with compact contact sets. This is achieved by constructing a bijection onto a cla…