Email this article Regularity theory for one-dimensional variational problems with singular ellipticity
- Authors: Gratwick R.1, Sychev M.A.2,3, Tersenov A.S.2,3
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Affiliations:
- Mathematics Institute University of Warwick Coventry
- Laboratory of Differential Equations and Related Problems of Analysis
- Novosibirsk State University
- Issue: Vol 94, No 2 (2016)
- Pages: 490-492
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224200
- DOI: https://doi.org/10.1134/S1064562416050021
- ID: 224200
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Abstract
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.
About the authors
R. Gratwick
Mathematics Institute University of Warwick Coventry
Email: masychev@math.nsc.ru
United Kingdom, Warwick, CV4 7AL
M. A. Sychev
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Author for correspondence.
Email: masychev@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk
A. S. Tersenov
Laboratory of Differential Equations and Related Problems of Analysis; Novosibirsk State University
Email: masychev@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk
