Regularity theory for one-dimensional variational problems with singular ellipticity
- Autores: Gratwick R.1, Sychev M.2,3, Tersenov A.2,3
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Afiliações:
- Mathematics Institute University of Warwick Coventry
- Laboratory of Differential Equations and Related Problems of Analysis
- Novosibirsk State University
- Edição: Volume 94, Nº 2 (2016)
- Páginas: 490-492
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224200
- DOI: https://doi.org/10.1134/S1064562416050021
- ID: 224200
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Resumo
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