Geodesic
Gradient regularity for minimizers of functionals under $p$-$q$ subquadratic growth
Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 571-586.

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Si prova la maggior sommabilità del gradiente dei minimi locali di funzionali integrali della forma $$\int_{\Omega}f(Du) dx,$$ dove $f$ soddisfa l'ipotesi di crescita $$ |\xi|^{p}-c_{1}\leq f(\xi) \leq c( 1+|\xi|^{q}),$$ con $1 p q \leq 2$. L'integrando $f$ è $C^{2}$ e $DDf$ ha crescita $p-2$ dal basso e $q-2$ dall'alto. 
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Leonetti, F.; Mascolo, E.; Siepe, F. Gradient regularity for minimizers of functionals under $p$-$q$ subquadratic growth. Bollettino della Unione matematica italiana, Série 8, 4B (2001) no. 3, pp. 571-586. http://geodesic.mathdoc.fr/item/BUMI_2001_8_4B_3_a1/

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