On the existence and uniqueness of minimizers for a class of integral functionals |
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| Authors: | Graziano Crasta Annalisa Malusa |
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| Affiliation: | 1. Dipartimento di Matematica, Univ. di Roma I, P.le Aldo Moro 2, 00185, Roma, Italy
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| Abstract: | We study the solvability of the minimization problem | minh ? Ka ò0T a(t)[ f( |h￠(t)| ) + g( h(t) ) ] dt,mathop {min }limits_{eta in mathcal{K}_alpha } int_0^T {alpha (t)left[ {fleft( {|eta '(t)|} right) + gleft( {eta (t)} right)} right]} ,dt, |
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