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.
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Published in Russian in Doklady Akademii Nauk, 2016, Vol. 470, No. 1, pp. 10–12.
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Gratwick, R., Sychev, M.A. & Tersenov, A.S. Regularity theory for one-dimensional variational problems with singular ellipticity. Dokl. Math. 94, 490–492 (2016). https://doi.org/10.1134/S1064562416050021
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DOI: https://doi.org/10.1134/S1064562416050021