Inserted: 14 may 2013
Last Updated: 26 feb 2015
Journal: Calc. Var. Partial Differential Equations
We prove quasi-monotonicity formulas for classical obstacle-type problems with energies being the sum of a quadratic form with Lipschitz coefficients, and a Holder continuous linear term. With the help of those formulas we are able to carry out the full analysis of the regularity of free-boundary points following the approaches by Caffarelli, Monneau and Weiss.