On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent

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...

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Bibliographic Details
Main Authors: Guoqing Zhang, Hongtao Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/247628
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