The Classical Obstacle problem with coefficients in fractional Sobolev spaces

Francesco Geraci

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arXiv · 1709.01003

The Classical Obstacle problem with coefficients in fractional Sobolev spaces

Francesco Geraci

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Abstract

We prove quasi-monotonicity formulae for classical obstacle-type problems with quadratic energies with coefficients in fractional Sobolev spaces, and a linear term with a Dini-type continuity property. These formulae are used to obtain the regularity of free-boundary points following the approaches by Caffarelli, Monneau and Weiss.

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Francesco Geraci. 2017-09-04. The Classical Obstacle problem with coefficients in fractional Sobolev spaces. https://arxiv.org/abs/1709.01003

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