A new log-epiperimetric inequality establishes logarithmic energy decay, unique blow-up limits, and C^{1,log} structure for singular free boundary points in the logarithmic obstacle problem.
Frehse, On the regularity of the solution of a second order variational inequality, Boll
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Geometric structure of singular free boundary points for the logarithmic obstacle problem
A new log-epiperimetric inequality establishes logarithmic energy decay, unique blow-up limits, and C^{1,log} structure for singular free boundary points in the logarithmic obstacle problem.