WEAK HARNACK INEQUALITY FOR THE NON-NEGATIVE WEAK SUPERSOLUTION OF QUASILINEAR ELLIPTIC EQUATION

Rene Erlín Castillo

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WEAK HARNACK INEQUALITY FOR THE NON-NEGATIVE WEAK SUPERSOLUTION OF QUASILINEAR ELLIPTIC EQUATION

机译：拟线性椭圆型方程的非负弱超解的弱Harnack不等式

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摘要

We introduce and study the classes &_P(R~n) as well as &_p(R~n), which are gener-alization of the Kato class. We also obtain a Fefferman inequality for the class &p (R~n) and derive the weak Harnack inequality

机译：我们介绍和研究类＆_P（R〜n）和＆_p（R〜n），它们是加藤类的一般化。我们还获得了＆p（R〜n）类的费弗曼不等式，并推导了弱的Harnack不等式

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《Mathematical inequalities & applications》 |2012年第3期|共14页
作者
Rene Erlín Castillo;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Weak Harnack inequality; Lorentz space; Fefferman inequality; Kato class.;

机译：弱Harnack不等式;Lorentz空间;Fefferman不等式;Kato类。;

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专利

1. WEAK HARNACK INEQUALITY FOR THE NON-NEGATIVE WEAK SUPERSOLUTION OF QUASILINEAR ELLIPTIC EQUATION [J] . Rene Erlín Castillo Mathematical inequalities & applications . 2012,第3期

机译：拟线性椭圆型方程的非负弱超解的弱Harnack不等式
2. Weak solutions for some quasilinear elliptic equations by the sub-supersolution method [J] . Delgado M., Suarez A. Nonlinear Analysis: An International Multidisciplinary Journal . 2000,第6期

机译：子超解法解一类拟线性椭圆型方程的弱解
3. Harnack's inequality and Holder older continuity for weak solutions of degenerate quasilinear equations with rough coefficients [J] . Monticelli D. D., Rodney S., Wheeden R. L. Nonlinear Analysis: An International Multidisciplinary Journal . 2015,第Null期

机译：具有粗糙系数的退化拟线性方程组弱解的Harnack不等式和Holder旧连续性。
4. Stability Control for the Quasilinear Wave Equations with Weak Attenuation [C] . S. X. Deng, H. E. Li, Z. J. Wang International Conference on Mechatronics and Automation Engineering . 2017

机译：衰减弱化曲线波动方程的稳定性控制
5. Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities. [D] . Borovikova, Marina. 2004

机译：拟线性椭圆系统的弱解的局部正则性和弱的Harnack不等式。
6. Lyapunov-type inequalities for quasilinear elliptic equations with Robin boundary condition [O] . Ülkü Dinlemez Kantar, Tülay Özden -1

机译：具有Robin边界条件的拟线性椭圆型方程的Lyapunov型不等式
7. Weak Harnack’s Inequality for non-negative solutions of elliptic equations with potential [O] . Ahmed Mohammed 2001

机译：椭圆方程具有潜力的非负面解的不平等
8. Harnack's Inequality for Cooperative Weakly Coupled Elliptic Systems. [R] . Arapostathis, A., Ghosh, M. K., Marcus, S. I. 1997

机译：合作弱耦合椭圆系统的Harnack不等式。

WEAK HARNACK INEQUALITY FOR THE NON-NEGATIVE WEAK SUPERSOLUTION OF QUASILINEAR ELLIPTIC EQUATION

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