Interior estimates for solutions of the quadratic Hessian equations in dimension three

摘要

We derive a priori C-2,C-alpha interior estimates in dimension three for viscosity solutions of the quadratic Hessian equation sigma(2) (D(2)u) = f(x), provided that the positive f is bounded and its Holder semi-norm is small. Actually, we relax the Holder continuity condition of f to be of integral sense. (C) 2020 Elsevier Inc. All rights reserved.