REGULARITY OF WEAK SOLUTIONS TO QUASILINEAR ELLIPTIC OBSTACLE PROBLEMS

1997 ◽  
Vol 17 (2) ◽  
pp. 159-166 ◽  
Author(s):  
Jianfu Yang
Keyword(s):  
Weak Solutions ◽  
Obstacle Problems ◽  
Regularity Of Weak Solutions ◽  
Quasilinear Elliptic

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

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhenhua Hu ◽  
Shuqing Zhou
Keyword(s):  
Differential Equation ◽  
Weak Solutions ◽  
Second Order ◽  
Obstacle Problems ◽  
Elliptic Differential Equation ◽  
Higher Integrability ◽  
Global Higher Integrability ◽  
Quasilinear Elliptic

We first introduce double obstacle systems associated with the second-order quasilinear elliptic differential equationdiv(A(x,∇u))=div f(x,u), whereA(x,∇u),f(x,u)are twon×Nmatrices 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.

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