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DiBenedetto, E. and Manfredi, J. (1993) On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems. American Journal of Mathematics, 115, 1107-1134. http://dx.doi.org/10.2307/2375066

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• 标题: 拟线性p-调和型椭圆方程的梯度估计Gradient Estimates for Quasilinear Elliptic p-Laplacean Equations

  作者: 王墨琴

  关键字: p-调和型, 拟线性, 椭圆, Wolff位势, 梯度估计p-Laplacean, Quasilinear, Elliptic, Wolff Potential, Gradient Estimate

  期刊名称: 《Pure Mathematics》, Vol.6 No.5, 2016-09-28

  摘要: 本文我们利用非线性Wolff位势来研究右端项含测度的非齐次拟线性p-调和型椭圆方程弱解的点态梯度估计。 In this paper we obtain the pointwise gradient estimates via the non-linear Wolff potentials for weak solutions of the non-homogeneous quasilinear elliptic p-Laplacean equations with measure data.