Eleuteri, Michela:
Hölder continuity results for a class of functionals with non-standard growth
Bollettino dell'Unione Matematica Italiana Serie 8 7-B (2004), fasc. n.1, p. 129-157, Unione Matematica Italiana (English)
pdf (339 Kb), djvu (324 Kb). | MR2044264 | Zbl 1178.49045
Sunto
In questo lavoro si provano risultati di regolarità per minimi di funzionali scalari $\int f (x, u, Du)$ a crescita non-standard di tipo $p(x)$, cioè: $$L^{-1} |z|^{p(x)} \leq f (x, s , z)\leq L(1+|z|^{p(x)}).$$ Si considerano per la funzione esponente $p(x)>1$ ipotesi di regolarità ottimali.
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