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Existence of minimizers for a class of quasi-convex functionals with non-standard growth
Authors:Barbara Bianconi  Matteo Focardi  Elvira Mascolo
Institution:(1) Dipartimento di Matematica “U. Dini”– Universitá di Firenze, Viale Morgagni 67/A – 50134 Firenze, Italy, e-mail: bianconi@math.unifi.it, mascolo@math.unifi.it, focardi@math.unifi.it, IT
Abstract:We study the lower semicontinuity properties of non-autonomous variational integrals whose energy densities satisfy general growth conditions. We apply these results to solve Dirichlet’s boundary value problems for such functionals. Received: June 14, 2000; in final form: November 25, 2000 Published online: December 19, 2001
Keywords:Mathematics Subject Classification (2000)  49J45
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