Higher Integrability of Weak Solutions to a Class of Double Obstacle Systems

We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrabilit...

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Bibliographic Details
Main Authors: Zhenhua Hu, Shuqing Zhou
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/921952
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Summary:We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equation div(A(x,∇u))=div f(x,u), where A(x,∇u), f(x,u) are two n×N matrices satisfying certain conditions presented in the context, then investigate the local and global higher integrability of weak solutions to the double obstacle systems, and finally generalize the results of the double obstacle problems to the double obstacle systems.
ISSN:2314-4629
2314-4785