Author(s)

Hong-Ya Gao, Chao Liu, Yu Zhang

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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.

A-Harmonic Equation, Muckenhoupt Weight, Extremum Principle, Hodge Decomposition

H. Gao, C. Liu and Y. Zhang, "Extremum Principle for Very Weak Solutions of A-Harmonic Equation with Weight," Advances in Pure Mathematics, Vol. 1 No. 4, 2011, pp. 235-237. doi: 10.4236/apm.2011.14041.