FURTHER APPLICATIONS OF TWO MINIMAX THEOREMS

被引：2

作者：

Giandinoto, D. ^{[1
]}

机构：

[1] Stockholm Univ, Dept Math, SE-10691 Stockholm, Sweden

来源：

MATEMATICHE | 2022年 / 77卷 / 02期

关键词：

Minimax theorem; functionals on Lp; infimum;

D O I：

10.4418/2022.77.2.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with new applications of two minimax theorems of B. Ricceri ([5],[9]). Here is a particular case of one of the results that we obtain: Let (T, F, mu) be a non-atomic measure space, with mu (T) < +infinity, (E, II center dot II) a real Banach space, I C E an unbounded set whose closure does not contain 0. Moreover, let p, q, r, s be four numbers such that 0 < s < q < p, p> 1, r> 1. Set X := {f E Lp(T,E) : f(T) C I1. Then, one has inf uEX (IT IIu(t)IIsd mu)r IT IIu(t)IIqd mu =0.

引用

页码：449 / 463

页数：15

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