Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (4): 706-713.

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Local Regularity and Local Boundedness for Solutions to Obstacle Problems

Gao Hongya, Jia Miaomiao   

  1. College of Mathematics and Information Science, Hebei University, Hebei Baoding 071002
  • Received:2016-11-27 Revised:2017-03-21 Online:2017-08-26 Published:2017-08-26
  • Supported by:

    Supported by the NSFC (10371050) and the Natural Science Foundation of Hebei Province (A2015201149)

Abstract:

This paper deals with solutions to Kψ,θ-obstacle problems of the A-harmonic equation
divA (x,▽u (x))=0
under some coercivity and growth conditions on A(x,ξ):Ω×Rn → Rn whose prototype is
A (x,ξ)=(μ2+|ξ|2)p-2/2ξ,μ ≥ 0.
Local regularity and local boundedness results are obtained.

Key words: Local regularity, Local boundedness, Obstacle problem, A-Harmonic equation

CLC Number: 

  • O175.23
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