Regularity theory for one-dimensional variational problems with singular ellipticity
- Авторлар: Gratwick R.1, Sychev M.2,3, Tersenov A.2,3
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Мекемелер:
- Mathematics Institute University of Warwick Coventry
- Laboratory of Differential Equations and Related Problems of Analysis
- Novosibirsk State University
- Шығарылым: Том 94, № 2 (2016)
- Беттер: 490-492
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224200
- DOI: https://doi.org/10.1134/S1064562416050021
- ID: 224200
Дәйексөз келтіру
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.
Авторлар туралы
R. Gratwick
Mathematics Institute University of Warwick Coventry
Email: masychev@math.nsc.ru
Ұлыбритания, Warwick, CV4 7AL
M. Sychev
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: masychev@math.nsc.ru
Ресей, Novosibirsk, 630090; Novosibirsk
A. Tersenov
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Email: masychev@math.nsc.ru
Ресей, Novosibirsk, 630090; Novosibirsk