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Regularity theory for one-dimensional variational problems with singular ellipticity


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In this paper we develop regularity theory for one-dimensional variational problems with singular ellipticity. As is known the classical indirect methods can not be applied in this case since the Euler equation is not defined. However it is still possible to suggest certain direct methods. Such a theory is the content of this paper.

Sobre autores

R. Gratwick

Mathematics Institute University of Warwick Coventry

Email: masychev@math.nsc.ru
Reino Unido da Grã-Bretanha e Irlanda do Norte, Warwick, CV4 7AL

M. Sychev

Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University

Autor responsável pela correspondência
Email: masychev@math.nsc.ru
Rússia, Novosibirsk, 630090; Novosibirsk

A. Tersenov

Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University

Email: masychev@math.nsc.ru
Rússia, Novosibirsk, 630090; Novosibirsk

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