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A one-dimensional variational problem with gradient constraint |
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| Authors: | G. Cardone A. Corbo Esposito † V. V. Zhikov ‡ |
| Affiliation: | 1. Dipartimento di Ingegneria Civile , Second University of Naples , via Roma, 29, 81031 Aversa (CE), Italy giuseppe.cardone@unina2.it;3. Dipartimento di Automazione , Elettromagnetismo, Ingegneria dell'Informazione e Matematica Industriale, University of Cassino , Via G.Di Biasio, 43 - 03043 Cassino (FR), Italy;4. Department of Mathematics , Vladimir State Pedagogical University , prosp. Stroitelei 11, Vladimir, 600024, Vladimir, Russia |
| Abstract: | In this note we give an explicit characterization of the minimum value of one-dimensional integral variational problem with gradient constraint by a positive measurable function. |
| Keywords: | Variational problem Gradient constraints Limit problem Explicit formula AMS Subject Classification: 49J45 |