DOUBLE PHASE OBSTACLE PROBLEMS INVOLVING SET-VALUED CONVECTION AND MIXED BOUNDARY VALUE CONDITIONS: UPPER-BOUND ERROR ESTIMATES

Abstract

The main purpose of this paper is to study upper-bound error estimates (also known as error bounds) for a class of generalized double phase obstacle problems via regularized gap functions. More precisely, we introduce some regularized gap functions for the double phase obstacle problem in forms introduced by Yamashita and Fukushima, and apply these regularized gap functions to provide the upper-bound error estimates for the double phase obstacle problem.