Regularity theory for one-dimensional variational problems with singular ellipticity
- Авторы: Gratwick R.1, Sychev M.2,3, Tersenov A.2,3
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Учреждения:
- Mathematics Institute University of Warwick Coventry
- Laboratory of Differential Equations and Related Problems of Analysis
- Novosibirsk State University
- Выпуск: Том 94, № 2 (2016)
- Страницы: 490-492
- Раздел: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224200
- DOI: https://doi.org/10.1134/S1064562416050021
- ID: 224200
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Аннотация
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.
Об авторах
R. Gratwick
Mathematics Institute University of Warwick Coventry
Email: masychev@math.nsc.ru
Великобритания, Warwick, CV4 7AL
M. Sychev
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Автор, ответственный за переписку.
Email: masychev@math.nsc.ru
Россия, Novosibirsk, 630090; Novosibirsk
A. Tersenov
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Email: masychev@math.nsc.ru
Россия, Novosibirsk, 630090; Novosibirsk