Pointwise estimates of solutions to 2m-order quasilinear elliptic equations with m- (p, q) growth via Wolff potentials

Voitovych Mykhailo V.

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Pointwise estimates of solutions to 2m-order quasilinear elliptic equations with m- (p, q) growth via Wolff potentials

机译：通过Wolff电位将M-（P，Q）生长的2m阶准椭圆方程的解的判定估计

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摘要

We consider quasilinear elliptic 2m-order (m = 2) partial differential equations whose prototype is

机译：我们考虑Quasilinear椭圆2m阶（m＆ = 2）原型的部分微分方程

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来源
《Nonlinear Analysis: An International Multidisciplinary Journal》 |2019年第2019期|共33页
作者
Voitovych Mykhailo V.;
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作者单位

Natl Acad Sci Ukraine Inst Appl Math &

Mech Gen Batiouk Str 19 UA-84116 Sloviansk Ukraine;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Quasilinear high-order elliptice equation m - (p; q) growth; Wolff potential; Lorentz space; Zygmund space; Harnack inequality;

机译：Quasilinear高阶椭圆式方程M - （P;Q）生长;Wolff潜力;洛伦兹空间;Zygmund空间;哈纳克不等式;

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专利

1. Pointwise estimates of solutions to 2m-order quasilinear elliptic equations with m- (p, q) growth via Wolff potentials [J] . Voitovych Mykhailo V. Nonlinear Analysis: An International Multidisciplinary Journal . 2019,第期

机译：通过Wolff电位将M-（P，Q）生长的2m阶准椭圆方程的解的判定估计
2. Decay estimates for Wolff potentials in R-N and gradient-dependent quasilinear elliptic equations [J] . Car Siegfried Journal of Differential Equations . 2018,第8期

机译：R-N和梯度依赖性Quasilinear椭圆方程中的Wolff电位衰变估计
3. Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations [J] . Yao Fengping, Zheng Min Journal of Mathematical Analysis and Applications . 2017,第2期

机译：通过Wolff电位对一类Quasilinear椭圆方程的梯度估计
4. Multiple existence of positive solutions to quasilinear elliptic equations involving indefinite lower terms [C] . Kimiaki Narukawa International Conference on Mathematical Problems in Engineering, Aerospace and Sciences . 2012

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. On the number of solutions of Dirichlet problems for some quasilinear elliptic equations. [D] . Koizumi, Eiko. 2004

机译：一类拟线性椭圆型方程Dirichlet问题的解数。
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. Generating singularities of solutions of quasilinear elliptic equations using Wolff’s potential [O] . Žubrinić, Darko 2003

机译：利用Wolff势生成拟线性椭圆型方程解的奇异性

Pointwise estimates of solutions to 2m-order quasilinear elliptic equations with m- (p, q) growth via Wolff potentials

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