Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

Byun SS; Wang L; Zhou SL

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Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

机译：Reifenberg域中具有BMO系数的非线性椭圆方程

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We develop a unifying method to obtain the interior and boundary estimates for the weak solution of a nonlinear elliptic partial differential equation of p-Laplacian type with BMO coefficients in a delta-Reifenberg flat domain. Our results greatly improve the known results for such equations. (c) 2007 Elsevier Inc. All rights reserved.

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《Journal of Functional Analysis》 |2007年第1期|共30页
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Byun SS; Wang L; Zhou SL;
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正文语种 eng
中图分类数学;
关键词
W (1.q) estimates; Nonlinear elliptic equations; BMO space; Reifenberg domain; Maximal function; Vitali; covering lemma; DISCONTINUOUS COEFFICIENTS; DIVERGENCE FORM; PARABOLIC EQUATIONS; MEAN OSCILLATION; VMO COEFFICIENTS; WEAK SOLUTIONS; REGULARITY; SYSTEMS; OPERATORS; GRADIENT;

机译：W（1.q）估计;非线性椭圆方程;BMO空间;Reifenberg域;极大函数;维塔利;覆盖引理;间断系数;散度形式;抛物方程;平均振动性;VMO系数;弱解;正则性梯度;

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专利

1. Nonlinear elliptic equations with BMO coefficients in Reifenberg domains [J] . Byun SS, Wang L, Zhou SL Journal of Functional Analysis . 2007,第1期

机译：Reifenberg域中具有BMO系数的非线性椭圆方程
2. The Conormal Derivative Problem for Elliptic Equations with BMO Coefficients on Reifenberg flat domains [J] . Sun-Sig Byun, Lihe Wang Proceedings of the London Mathematical Society . 2005,第1期

机译：Reifenberg平面域上具有BMO系数的椭圆方程的协导数问题。
3. Elliptic equations with BMO coefficients in Reifenberg domains [J] . Sun-Sig Byun, Lihe Wang Communications on Pure and Applied Mathematics . 2004,第10期

机译：Reifenberg域中具有BMO系数的椭圆方程
4. THE MIXED BOUNDARY VALUE PROBLEM FOR NONLINEAR NONDIVERGENCE ELLIPTIC SYSTEMS OF SECOND ORDER EQUATIONS WITH MEASURABLE COEFFICIENTS IN HIGHER DIMENSIONAL DOMAINS [C] . Dechang Chen, Guo Chun Wen International ISAAC Congress . 2003

机译：高尺寸域中可测量系数的二阶方程的非线性发光椭圆系统的混合边值问题
5. Elliptic equations with singular BMO coefficients in Reifenberg domains. [D] . Um, Ko Woon. 2010

机译：Reifenberg域中具有奇异BMO系数的椭圆方程。
6. Colloquium PaperNonlinear partial differential equations and applications: Some nonlinear elliptic equations from geometry [O] . YanYan Li 2007

机译：非线性偏微分方程及其应用：几何学中的一些非线性椭圆方程
7. Nonlinear elliptic equations with BMO coefficients in Reifenberg domains [O] . Byun Sun-Sig, Wang Lihe, Zhou Shulin 2007

机译：Reifenberg域中具有BMO系数的非线性椭圆方程

Nonlinear elliptic equations with BMO coefficients in Reifenberg domains

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