A NOTE ON THE BOUNDARY REGULARITY OF SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

Riey Giuseppe; Sciunzi Berardino

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A NOTE ON THE BOUNDARY REGULARITY OF SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

机译：关于拟线性椭圆型方程解的边界正则性的一个注记

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摘要

We study the summability up to the boundary of the second derivatives of solutions to a class of Dirichlet boundary value problems involving the p-Laplace operator. Our results are meaningful for the cases when the Hopf's Lemma cannot be applied to ensure that there are no critical points of the solution on the boundary of the domain.

机译：我们研究了涉及p-Laplace算子的一类Dirichlet边值问题的解的二阶导数的边界的可加性。对于无法应用Hopf引理来确保域边界上没有临界点的情况，我们的结果是有意义的。

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《ESAIM》 |2018年第2期|849-858|共10页
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Riey Giuseppe; Sciunzi Berardino;
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机译：具有非均值边界条件的Quasilinear椭圆方程的BMO弱解的规律性估计
2. A NOTE ON REGULARITY FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS [J] . Li Junjie, Bian Baojun Applied Mathematics. series B . 2000,第3期

机译：关于一类拟线性椭圆型方程的正则性的一个注记
3. REGULARITY OF STABLE SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON RIEMANNIAN MODELS [J] . Rodrigo G. Clemente, Jo?o Marcos do ó Annales Academiae Scientiarum Fennicae. Mathematica . 2019,第2期

机译：Rimannian模型上拟线性椭圆型方程稳定解的规律性
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

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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. Rigidity Results for Elliptic Boundary Value Problems: Stable Solutions for Quasilinear Equations with Neumann or Robin Boundary Conditions [O] . Serena Dipierro, Andrea Pinamonti, Enrico Valdinoci 2018

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8. Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part 1. Boundary Value Problems for Linear Ellilptic Equation of Second Order [R] . Babuska, I., Guo, B. 1986

机译：分段解析数据求解椭圆问题的正则性。第一部分二阶线性Ellilptic方程的边值问题

A NOTE ON THE BOUNDARY REGULARITY OF SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS

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