Local Lipschitz continuity of local minimizers of vectorial integrals is proved when the integrand f satisfies p-q growth condition and is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof we use semicontinuity and relaxation results for functionals with non standard growth.
Regularity of Minimizers for Nonconvex Vectorial Integrals with p-q Growth via Relaxation Methods
BENEDETTI, Irene;
2004
Abstract
Local Lipschitz continuity of local minimizers of vectorial integrals is proved when the integrand f satisfies p-q growth condition and is not convex. The uniform convexity and the radial structure condition with respect to the last variable are assumed only at infinity. In the proof we use semicontinuity and relaxation results for functionals with non standard growth.File in questo prodotto:
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