TITLE:
Extremum Principle for Very Weak Solutions of A-Harmonic Equation with Weight
AUTHORS:
Hong-Ya Gao, Chao Liu, Yu Zhang
KEYWORDS:
A-Harmonic Equation, Muckenhoupt Weight, Extremum Principle, Hodge Decomposition
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.4,
July
22,
2011
ABSTRACT: Extremum principle for very weak solutions of A-harmonic equation div A(x,▽u)=0 is obtained, where the operator A:Ω × Rn→Rnsatisfies some coercivity and controllable growth conditions with Mucken-houpt weight.