Fractional Sobolev regularity for fully nonlinear elliptic equations.

Abstract:  We study high-order fractional Sobolev regularity for fully nonlinear, uniformly elliptic equations, in the presence of unbounded source terms. Our techniques are based on touching the solution with C1,α cone-like functions to produce a decay rate of the measure of certain sets.

Posted on May 18, 2022 in Differential Equations, Seminars