Gradient estimates for the p (x)-Laplacean system
Gradient estimates for the p (x)-Laplacean system
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DOI：
10.1515/crll.2005.2005.584.117
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发表时间：
2005-07
期刊：
影响因子：
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通讯作者：
E. Acerbi;G. Mingione
中科院分区：
文献类型：
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作者：
E. Acerbi;G. Mingione
Abstract We prove Calderón and Zygmund type estimates for a class of elliptic problems whose model is the non-homogeneous p (x )-Laplacean system Under optimal continuity assumptions on the function p (x ) > 1 we prove that Our estimates are motivated by recent developments in non-Newtonian fluidmechanics and elliptic problems with non-standard growth conditions, and are the natural, ‘‘non-linear’’ counterpart of those obtained by Diening and Růžička [L. Diening and M. Růžička, Calderón-Zygmund operators on generalized Lebesgue spaces L p (‧) and problems related to fluid dynamics, J. reine angew. Math. 563 (2003), 197–220] in the linear case.
