We prove the existence of minimizers of non convex, autonomous, multiple integrals under mild assumptions on the integrand. We present examples which show that the hypotheses on the integrand considered here for attainment are essentially sharp.
A sharp attainment result for nonconvex variational problems / Celada, Pietro; Cupini, G.; Guidorzi, M.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 20:(2004), pp. 301-328. [10.1007/s00526-003-0238-5]
A sharp attainment result for nonconvex variational problems
CELADA, Pietro;
2004-01-01
Abstract
We prove the existence of minimizers of non convex, autonomous, multiple integrals under mild assumptions on the integrand. We present examples which show that the hypotheses on the integrand considered here for attainment are essentially sharp.File in questo prodotto:
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