Some Further Remarks on Good Sets

Proceedings Mathematical Sciences

K Gowri Navada¹ 

[1] Department of Mathematics, Periyar University, Salem 0, India$$

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

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown