Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (5): 1291-1297.

• Articles • Previous Articles     Next Articles

Local Regularity for Very Weak Solutions of Obstacle Problems to the A-Harmonic Operators

  

  1. 1.College of Mathematics and Computer Science, Hebei University, Hebei Baoding 071002|2.Hebei Privincial Center of Mathematics, Shijiazhuang, 050016|3.Department of Mathematics, Chengde Teachers College for
    Nationalities, Hebei |Chengde, 067000|4.Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 31300
  • Received:2007-12-28 Revised:2008-10-30 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    河北省自然科学基金数学研究专项基金(07M003)、国家自然科学基金(10771195)和浙江省自然科学基金(Y607128)资助

Abstract:

This paper gives a local regularity result for very weak solutions of obstacle problems to the A-Harmonic operator div A(x, u,   u)=0 with nonnegative obstacle by using the method of Hodge decomposition.

Key words: Local regularity, A-Harmonic operator, Obstacle problem, Hodge decomposition

CLC Number: 

  • 35J70
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