On the quasiminimizing constant for the minimum of two quasisuperminizers on R^n equipped with a p-admissible weight

Abstract

By adding a p-admissible radial weight on the n-dimensional real line, we extend the higher dimensional examples given in Bj¨orn–Bj¨orn–Mirumbe for only integral values of p to all values of p to demonstrate a phenomenon that was shown in Bj¨orn–Bj¨orn–Korte (“Minima of quasisuperminimizers”, Nonlinear Anal. 155 (2017), 264–284) stating that u := min{u1, u2} is a Q-quasisuperminimizer if u1 and u2 are Q-quasisuperminimizers and has a certain optimal quasiminimizer constant.