Relaxation and regularity in the calculus of variations |
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Authors: | Alessandro Ferriero |
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Institution: | UAM - ICMAT, Departamento de Matemáticas, Universidad Autónoma de Madrid, Campus de Cantoblanco, 28049 Madrid, Spain |
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Abstract: | In this work we prove that, if L(t,u,ξ) is a continuous function in t and u, Borel measurable in ξ, with bounded non-convex pieces in ξ, then any absolutely continuous solution to the variational problem |
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Keywords: | 49B05 49A05 49C05 35J20 |
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