We prove boundedness of minimizers of energy-functionals, for instance of anisotropic type under sharp assumptions on the exponents. As a consequence, by mean of regularity results due to Lieberman, we obtain the local Lipschitz-continuity of minimizers under sharp assumptions on the exponents of anisotropic growth.

Regularity under sharp anisotropic general growth conditions / G. CUPINI; P. MARCELLINI; E. MASCOLO. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 11:(2009), pp. 67-86.

Regularity under sharp anisotropic general growth conditions

CUPINI, GIOVANNI;MARCELLINI, PAOLO;MASCOLO, ELVIRA
2009

Abstract

We prove boundedness of minimizers of energy-functionals, for instance of anisotropic type under sharp assumptions on the exponents. As a consequence, by mean of regularity results due to Lieberman, we obtain the local Lipschitz-continuity of minimizers under sharp assumptions on the exponents of anisotropic growth.
2009
11
67
86
G. CUPINI; P. MARCELLINI; E. MASCOLO
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/254196
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