On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
Supported by KBN grant 211029101

D. Idczak Institute of Mathematics, Lódź University, UI Stefana Banacha 22, Lódź, 90-238, Poland

S. Walczak Institute of Mathematics, Lódź University, UI Stefana Banacha 22, Lódź, 90-238, Poland

Abstract

In this paper prove Helly's principle of choice for functions of two variables. This theroem is applied to the investigation of some variational problems. An application is given to a gas absorption problem

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Supported by KBN grant 211029101

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Supported by KBN grant 211029101

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On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
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On helly's theorem for functions of several variables and its applications to variational problems Footnote∗Supported by KBN grant 211029101

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On helly's theorem for functions of several variables and its applications to variational problems Footnote^∗
Supported by KBN grant 211029101