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The behavior of solutions of the mixed boundary value problem for a linear second-order elliptic equation in a neighbourhood of intersecting edges

机译：线性二阶椭圆方程在相交边缘附近的混合边值问题的解的行为

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In this paper we deals with the mixed boundary value problem for secondorder elliptic equations in a polyhedral domain. We obtain exact estimates for solutions of the problem in a neighbourhood of an vertex. A special section is dedicated to the examples.

机译：在本文中，我们处理了多面体域中二阶椭圆型方程的混合边值问题。我们获得顶点附近问题的解决方案的精确估计。一个特殊的部分专门用于示例。

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Plesha M.;
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年度 2008
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正文语种 en
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1. The behavior of weak solutions to the boundary value problems for elliptic quasilinear equations with triple degeneration in a neighborhood of a boundary edge [J] . Borsuk M Nonlinear Analysis: An International Multidisciplinary Journal . 2004,第3期

机译：具三次退化的椭圆型拟线性方程组边值问题的边值问题的弱解的行为。
2. 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
3. Numercial Solution of Boundary-Valtue Problems for Second-Order Elliptic Equations with Mixed Derivatives by Effective Iteration Methods [J] . T. S. Martynova Mathematical models and computer simulations . 2009,第3期

机译：有效迭代法数值求解带导数的二阶椭圆型方程边值问题
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. Normalized p-laplacian evolution: boundary behavior of non-negative solutions of fully nonlinear parabolic equations: Gradient bounds for p-harmonic systems with vanishing neumann (dirichlet) data in a convex domain. [D] . Banerjee, Agnid. 2014

机译：归一化的p-拉普拉斯演化：完全非线性抛物方程的非负解的边界行为：具有在凸域中消失的Neumann（dirichlet）数据的p调和系统的梯度界。
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. SCHAUDER A PRIORI ESTIMATES AND REGULARITY OF SOLUTIONS TO BOUNDARY-DEGENERATE ELLIPTIC LINEAR SECOND-ORDER PARTIAL DIFFERENTIAL EQUATIONS [O] . Paul M. N. Feehan, Camelia, A. Pop 2016

机译：关于边界退化椭圆线性二阶偏微分方程解的优先估计和正则性
8. A Minimum Principle for the Principal Eigenvalue for Second-Order Linear Elliptic Equations with Natural Boundary Conditions. [R] . Holland, C. J. 1977

机译：具有自然边界条件的二阶线性椭圆方程主特征值的最小性原理。

The behavior of solutions of the mixed boundary value problem for a linear second-order elliptic equation in a neighbourhood of intersecting edges

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