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.File in questo prodotto:
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