J4 ›› 2010, Vol. 45 ›› Issue (8): 66-70.

• Articles • Previous Articles     Next Articles

Local integrability for very weak solutions of  nonhomogeneous obstacle problems

LI Juan   

  1. Department of Mathematics, Ningbo University, Ningbo 315211, Zhejiang, China
  • Received:2009-09-28 Online:2010-08-16 Published:2010-09-16

Abstract:

 A definition of very weak solutions to obstacle problem of a second-order nonhomogeneous elliptic equation
-divA(x,▽u)=f(x),u∈Krψ,θ (Ω)
is given, and a higher integrability result about very weak solution to the above mentioned obstacle problem via Hodge decomposition is proved.
 

Key words: obstacle problem; elliptic equation; Hodge decomposition

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