On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. (18th August 2013)

• Record Type: Journal Article
• Authors: Zhang, Guoqing; Zhang, Hongtao
• Other Names: Xu Gen-Qi Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-08-18
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/247628
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p ( x ) → growth. Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak solution is L loc ∞ ( Ω ) and C 1, α ( Ω ) .