Existence of minimizers for a class of quasi-convex functionals with non-standard growth |
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| Authors: | Barbara Bianconi Matteo Focardi Elvira Mascolo |
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| 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 |
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| 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 |
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| Keywords: | Mathematics Subject Classification (2000) 49J45 |
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