Local Regularity Results for Minima of Anisotropic Functionals and Solutions of Anisotropic Equations

Local Regularity Results for Minima of Anisotropic Functionals and Solutions of Anisotropic Equations

This paper gives some local regularity results for minima of anisotropic functionals I (u;Ω)=[subscript]∫Ω[/subscript] f(x,u,Du)dx , u∈[superscript]Wloc1,[subscript]qi[/subscript] [/superscript] (Ω) and for solutions of anisotropic equations -div ...9C;(x,u,Du)=-[superscript]∑i=1N[/superscript] (∂f/...

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Veröffentlicht in:Journal of inequalities and applications 2008-01, Vol.2008, p.1-12
Hauptverfasser: Hongya, Gao, Jinjing, Qiao, Yong, Wang, Yuming, Chu
Format: Artikel
Sprache:eng
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Computer science
Mathematics
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Zusammenfassung:This paper gives some local regularity results for minima of anisotropic functionals I (u;Ω)=[subscript]∫Ω[/subscript] f(x,u,Du)dx , u∈[superscript]Wloc1,[subscript]qi[/subscript] [/superscript] (Ω) and for solutions of anisotropic equations -div ...9C;(x,u,Du)=-[superscript]∑i=1N[/superscript] (∂f/∂[subscript]xi[/subscript] ) , u∈[superscript]Wloc1,[subscript]qi[/subscript] [/superscript] (Ω) which can be regarded as generalizations of the classical results.
ISSN:1025-5834
1029-242X
DOI:10.1155/2008/835736