• Some Further Remarks on Good Sets

• Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/117/02/0197-0203

• Keywords

Good set; full set; full component; related component; geodesic; boundary of a good set.

• Abstract

We show that in 𝑛-fold cartesian product, $n\geq 4$, a related component need not be a full component. We also prove that when $n\geq 4$, uniform boundedness of lengths of geodesics is not a necessary condition for boundedness of solutions of (1) for bounded function 𝑓.

• Author Affiliations

1. Department of Mathematics, Periyar University, Salem 636 011, India

• Proceedings – Mathematical Sciences

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November 2019

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