Homogenization of Gradient-Constrained Problems with Respect to Periodic Measures |
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Authors: | G Cardone G Gargiulo |
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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 |
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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.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 12, Partial
Differential Equations, 2004. |
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