Abstract
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.
Original language | English |
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Journal | Journal of Convex Analysis |
Volume | 28 |
Issue number | 3 |
Publication status | Published - 2021 |
Keywords
- Existence and regularity in small
- Field theory
- Integral functionals
- Obstacle problems
- Singular ellipticity
- Tonelli regularity