Orlicz空间中A-调和方程很弱解得Lϕ估计

Abstract

CLC Number:

O175.25

Yuxia Tong,Xinru Wang,Jiantao Gu. L^ϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces[J].Acta mathematica scientia,Series A, 2020, 40(6): 1461-1480.

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References 24

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[1]	Yanan Zhang,Shuo Yan,Yuxia Tong. Gradient Estimates for Weak Solutions to Non-Homogeneous A-Harmonic Equations Under Natural Growth [J]. Acta mathematica scientia,Series A, 2020, 40(2): 379-394.
[2]	Fangmei Sun, WuGaridi. Exact Estimate of n-Widths of a Convolution Function Class in Orlicz Spaces [J]. Acta mathematica scientia,Series A, 2019, 39(4): 720-729.
[3]	Du Guangwei, Niu Pengcheng. Higher Integrability for Very Weak Solutions of Obstacle Problems to Nonlinear Subelliptic Equations [J]. Acta mathematica scientia,Series A, 2017, 37(1): 122-145.
[4]	HAN Ling-Xiong, Wu Garidi, LIU Guo-Feng. The Equivalence of the Smooth Modulus with Weights and a K-Functional in Orlicz Spaces and it's Application [J]. Acta mathematica scientia,Series A, 2014, 34(1): 95-108.
[5]	LIU Chun-Yan, SHI Zhong-Rui. Property U of Orlicz Space [J]. Acta mathematica scientia,Series A, 2011, 31(2): 328-334.
[6]	MENG Wei-Wei, YU Lin. Martingale Transforms between Hardy Spaces and Hardy-Orlicz Spaces of Martingales [J]. Acta mathematica scientia,Series A, 2010, 30(6): 1523-1527.
[7]	ZHENG Shen-Zhou, WANG Xi-Fen. Regularity of Very Weak Solutions for a Class of Quasilinear Subelliptic Equations [J]. Acta mathematica scientia,Series A, 2010, 30(2): 432-439.
[8]	JIN Yan-Ming, YU Lin. Two Φ-functions and Two Weights Inequalities for Maximal Operators in Martingale Spaces [J]. Acta mathematica scientia,Series A, 2009, 29(4): 1065-1073.
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L^ϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces

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Lϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces

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L^ϕ-Type Estimates for Very Weak Solutions of A-Harmonic Equation in Orlicz Spaces