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REGULARITY IN ORLICZ SPACES FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF SCHRoDINGER TYPE
被引:0
|作者:
Trong, Nguyen Ngoc
[1
]
Tung, Nguyen Thanh
[1
]
Dung, Tran Tri
[1
]
Truong, Le Xuan
[2
]
机构:
[1] Ho Chi Minh City Univ Educ, Ho Chi Minh City, Vietnam
[2] Univ Econ Ho Chi Minh City, Ho Chi Minh City, Vietnam
来源:
MATHEMATICAL INEQUALITIES & APPLICATIONS
|
2023年
/
26卷
/
03期
关键词:
Schrodinger operator;
p-Laplacian;
gradient estimate;
Orlicz space;
PARABOLIC EQUATIONS;
BMO COEFFICIENTS;
INTEGRABILITY;
OPERATORS;
D O I:
10.7153/mia-2023-26-36
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we generalize gradient estimates in Lebesgue spaces to Orlicz spaces for weak solutions of quasi-linear elliptic equations of Schrodinger type on a Reifenberg flat domain, under the condition that the coefficients are in John-Nirenberg space with small BMO semi-norms. We assume that the potential belongs to some certain reverse Ho & BULL;lder class. Our results improve the known results for such equations using a harmonic analysis-free technique.
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页码:567 / 594
页数:28
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