Regularity under sharp anisotropic general growth conditions
Regularity under sharp anisotropic general growth conditions
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DOI：
10.3934/dcdsb.2009.11.67
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发表时间：
2008-11
影响因子：
1.2
通讯作者：
G. Cupini;Paolo Marcellini;E. Mascolo
中科院分区：
文献类型：
--
作者：
G. Cupini;Paolo Marcellini;E. Mascolo
We prove boundedness of minimizers of energy-functionals, for in- stance of the anisotropic type (1) below, under sharp assumptions on the ex- ponents pi in terms of p � : the Sobolev conjugate exponent of p; i.e., p � = np n p , 1 p = 1 n P n i=1 1 pi . As a consequence, by mean of regularity results due to Lieber- man (21), we obtain the local Lipschitz-continuity of minimizers under sharp assumptions on the exponents of anisotropic growth.
