Existence ofBV absolute discontinuous minima for modified multiple integrals of the calculus of variations |
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Authors: | Lamberto Cesari |
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Institution: | 1. Department of Mathematics, University of Michigan, 2021 Washtenaw avenue, 48104, Ann Arbor, Michigan, (USA)
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Abstract: | We continue here the discussion on the existence of discontinuousBV minima, for a class of multiple integrals of the calculus of variationsI, we have started in 2] in view of possible studies on hyperbolic partial differential equations. Besides the associated Serrin integralJ, based onL 1-convergence, we take into consideration a modified Serrin-type functionalJ *. This new integralJ * will be needed in 3] to prove Rankine-Hugoniot type properties. |
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