Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point

Bodzioch Mariusz; Borsuk Mikhail

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Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point

机译：边界锥点附近的椭圆拟线性方程的退化斜导数问题的强解的行为

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摘要

We study the behaviour of strong solutions to the degenerate oblique derivative problem for quasi-linear second-order elliptic equations in a neighbourhood of the boundary conical point of a bounded domain.

机译：我们研究有界域的边界圆锥点附近的拟线性二阶椭圆型方程的退化斜导数问题的强解的行为。

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来源
《Complex variables and elliptic equations》 |2015年第4期|共19页
作者
Bodzioch Mariusz; Borsuk Mikhail;
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正文语种 eng
中图分类复分析、复变函数;
关键词
35J25; 35J20; 35J70; elliptic equations; oblique problem; conical points;

机译：35J25;35J20;35J70;椭圆方程;斜问题;圆锥点;

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专利

1. Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point [J] . Bodzioch Mariusz, Borsuk Mikhail Complex variables and elliptic equations . 2015,第3a4期

机译：边界锥点附近的椭圆拟线性方程的退化斜导数问题的强解的行为
2. On the degenerate oblique derivative problem for elliptic second-order equation in a domain with boundary conical point [J] . Mariusz Bodzioch, Mikhail Borsuk Complex variables and elliptic equations . 2014,第3a4期

机译：具有边界锥点的区域中椭圆二阶方程的退化退化导数问题
3. The behavior near the boundary corner point of solutions to the degenerate oblique derivative problem for elliptic second-order equations in a plane domain [J] . Borsuk M. Journal of Differential Equations . 2013,第3期

机译：平面域中椭圆二阶方程的退化斜导数解的边界角点附近的行为
4. Behavior of Weak Solutions to the Boundary Value Problems for Second Order Elliptic Quasi-Linear Equation with Constant and Variable Nonlinearity Exponent in a Neighborhood of a Conical Boundary Point [C] . Yury Alkhutov, Mikhail Borsuk, Sebastian Jankowski International conference on numerical analysis and its applications . 2017

机译：锥边界点附近具有恒定和可变非线性指数的二阶椭圆拟线性方程组边值问题的弱解的行为
5. Integro-Differential Operators: Connections to Degenerate Elliptic Equations and Some Free Boundary Problems [D] . Menon, Reshma. 2020

机译：积分差分运算符：与退化椭圆方程的连接和一些自由边界问题
6. VARIATIONAL BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATIONS OF ARBITRARY ORDER [O] . Felix E. Browder 1963

机译：任意阶拟线性椭圆型方程的变分边值问题
7. Free boundary and mixed boundary value problems for quasilinear elliptic equations: tangential oblique derivative and degenerate Dirichlet boundary problems [O] . Kim Eun Heui 2005

机译：拟线性椭圆型方程的自由边界和混合边界值问题：切向斜导数和简并Dirichlet边界问题

Behaviour of strong solutions to the degenerate oblique derivative problem for elliptic quasi-linear equations in a neighbourhood of a boundary conical point

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