{"title":"ON THE RELATIVE ROTATION OF MULTIVALUED POTENTIAL VECTOR FIELDS","authors":"V. S. Klimov, N. V. Senchakova","doi":"10.1070/SM1993V074N01ABEH003340","DOIUrl":null,"url":null,"abstract":"Conditions are presented under which the relative index of a critical set realizing a local minimum of a nonsmooth functional coincides with the Euler-Poincare characteristic of this set. An analogous result is obtained for the index of a functional increasing at .","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"78 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"17","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1993V074N01ABEH003340","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17
Abstract
Conditions are presented under which the relative index of a critical set realizing a local minimum of a nonsmooth functional coincides with the Euler-Poincare characteristic of this set. An analogous result is obtained for the index of a functional increasing at .
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