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.

引用

页码：567 / 594

页数：28

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