Geodesic
Field Theory for Integrands with Low Regularity
Journal of convex analysis, Tome 28 (2021) no. 3, pp. 959-966
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We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.
Classification : 49N60
Mots-clés : Integral functionals, obstacle problems, singular ellipticity, Tonelli regularity, existence and regularity in small, field theory 
@article{JCA_2021_28_3_JCA_2021_28_3_a15,
     author = {R. Gratwick and M. A. Sychev},
     title = {Field {Theory} for {Integrands} with {Low} {Regularity}},
     journal = {Journal of convex analysis},
     pages = {959--966},
     year = {2021},
     volume = {28},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_3_JCA_2021_28_3_a15/}
}
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R. Gratwick; M. A. Sychev. Field Theory for Integrands with Low Regularity. Journal of convex analysis, Tome 28 (2021) no. 3, pp. 959-966. http://geodesic.mathdoc.fr/item/JCA_2021_28_3_JCA_2021_28_3_a15/