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.
Existence of minimizers for a class of quasiconvex functionals with nonstandard growth / B. Bianconi; M. Focardi; E. Mascolo. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 180:(2002), pp. 493-510. [10.1007/s102310100027]
Existence of minimizers for a class of quasiconvex functionals with nonstandard growth
FOCARDI, MATTEO;MASCOLO, ELVIRA
2002
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.
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