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math.AP2016
Partial Regularity of Solutions to the Second Boundary Value Problem for Generated Jacobian Equations
Yash Jhaveri
We prove that outside of a closed singular set of measure zero solutions to the second boundary value problem for generated Jacobian equations are smooth.
math.AP2016
Higher Regularity of the Free Boundary in the Obstacle Problem for the Fractional Laplacian
Yash Jhaveri, Robin Neumayer
We prove a higher regularity result for the free boundary in the obstacle problem for the fractional Laplacian via a higher order boundary Harnack inequality.