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arXiv · 1902.10075

The quasisuperminimizing constant for the minimum of two quasisuperminimizers in R^n

Anders Björn·Jana Björn·Ismail Mirumbe
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Abstract

It was shown in Bj\"orn--Bj\"orn--Korte ("Minima of quasisuperminimizers", Nonlinear Anal. 155 (2017), 264-284) that $u:=\min\{u_1,u_2\}$ is a $\overline{Q}$-quasisuperminimizer if $u_1$ and $u_2$ are $Q$-quasisuperminimizers and $\overline{Q}=2Q^2/(Q+1)$. Moreover, one-dimensional examples therein show that $\overline{Q}$ is close to optimal. In this paper we give similar examples in higher dimensions. The case when $u_1$ and $u_2$ have different quasisuperminimizing constants is considered as well.

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Anders Björn, Jana Björn, Ismail Mirumbe. 2019-02-26. The quasisuperminimizing constant for the minimum of two quasisuperminimizers in R^n. https://doi.org/10.5186/aasfm.2020.4508

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