Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case |
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| Authors: | A. Cellina A. Ferriero |
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| Affiliation: | Dip. di Matematica e Applicazioni, Università degli Studi di Milano-Bicocca, Via Bicocca degli Arcimboldi 8, 20126, Milan, Italy |
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| Abstract: | Under general growth assumptions, that include some cases of linear growth, we prove existence of Lipschitzian solutions to the problem of minimizing ∫abL(x(s),x′(s)) ds with the boundary conditions x(a)=A, x(b)=B. |
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| Keywords: | Calculus of variations Existence and Lipschitzianity of solutions |
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