On the range of the parameters for the grand Furuta inequality to be valid

Keiichi Watanabe
2014 Journal of Inequalities and Applications  
In order to investigate the precise range D of the parameters p, s, t, and r for which the grand Furuta inequality is valid. We use the method of reductio ad absurdum. We find the following results: The area 1 < p, 0 < s < 1, 0 < t < 1 + r, and ts < r is contained in the complement of the range D. The condition 1 ≤ s seems essential for the grand Furuta inequality. MSC: Primary 47A63; 15A45
doi:10.1186/1029-242x-2014-297 fatcat:v6hkpttl2zb4le6upu67dagv44