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Homogenization of Gradient-Constrained Problems with Respect to Periodic Measures
Authors:G Cardone  G Gargiulo
Institution:(1) Department of Civil Engineering, Second University of Naples, Naples, Italy;(2) Department of Information Engineering and Applied Mathematics (DIIMA), University of Salerno, Salerno, Italy
Abstract:We study the asymptotic behavior of solutions of minimization problems of integral functionals with integrands satisfying p-growth conditions, with respect to constraints that are imposed on gradients of admissible functions on a periodic disperse set and with respect to periodic measures that are assumed to be nondegenerate and satisfying the Poincare inequality. __________ Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 12, Partial Differential Equations, 2004.
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