Regularity theory for one-dimensional variational problems with singular ellipticity

R. Gratwick; M. A. Sychev; A. S. Tersenov

doi:10.1134/S1064562416050021

Regularity theory for one-dimensional variational problems with singular ellipticity

R. Gratwick, M. A. Sychev^*, A. S. Tersenov

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract / Description of output

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.

Original language	English
Pages (from-to)	490-492
Number of pages	3
Journal	Doklady Mathematics
Volume	94
Issue number	2
DOIs	https://doi.org/10.1134/S1064562416050021
Publication status	Published - 1 Sept 2016

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title = "Regularity theory for one-dimensional variational problems with singular ellipticity",

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.",

author = "R. Gratwick and Sychev, {M. A.} and Tersenov, {A. S.}",

year = "2016",

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T1 - Regularity theory for one-dimensional variational problems with singular ellipticity

AU - Gratwick, R.

AU - Sychev, M. A.

AU - Tersenov, A. S.

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N2 - 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.

AB - 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.

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U2 - 10.1134/S1064562416050021

DO - 10.1134/S1064562416050021

M3 - Article

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VL - 94

SP - 490

EP - 492

JO - Doklady Mathematics

JF - Doklady Mathematics

IS - 2

ER -

Regularity theory for one-dimensional variational problems with singular ellipticity

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