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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…
math.AP2022★ 1 cited
Complete classification of global solutions to the obstacle problem
Simon Eberle, Alessio Figalli, Georg S. Weiss
The characterization of global solutions to the obstacle problems in , or equivalently of null quadrature domains, has been studied over more than 90 years. In this p…