Infinity Laplacian equations with singular absorptions

Published 14 Jan 2021 in math.AP | (2101.05882v2)

Abstract: In this work, we study regularity properties for nonvariational singular elliptic equations ruled by the infinity Laplacian. We obtain optimal $C^{1,\alpha}$ regularity along the free boundary. We also show existence of solutions, nondegeneracy properties and fine geometric estimates for the free boundary.

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