The quasiminimizing constant for the mini¬mum of two quasi-superminimizers in Rn.
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Title | The quasiminimizing constant for the mini¬mum of two quasi-superminimizers in Rn. |
Publication Type | Journal Article |
Year of Publication | 2020 |
Authors | Björn, A, Björn, J, Ismail, M |
Journal | Annales Academiæ Scientiarum Fennicæ Mathematica |
Volume | 45 |
Issue | 1 |
Pagination | 215-225 |
Date Published | January 2020 |
Abstract | It was shown in Björn–Björn–Korte [5] that u := min{u1, u2} is a Q-quasisuperminimizer if u1 and u2 are Q-quasisuperminimizers and Q = 2Q2/(Q+1). Moreover, one-dimensional examples therein show that Q is close to optimal. In this paper we give similar examples in higher dimensions. The case when u1 and u2 have different quasisuperminimizing constants is considered as well. |
URL | http://www.acadsci.fi/mathematica/Vol45/vol45pp0215-0225.pdf |
DOI | 10.5186/aasfm.2020.4508 |