Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form

Ricarte Gleydson C.; Araujo Janielly G.

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Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form

机译：非发散形式P-Laplacian型方程的奇异扰动问题的最新边界规律

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We prove interior and up to boundary Lipschitz regularity of the viscosity solutions to a singular perturbation problem for a reaction-diffusion equation related to the normalized p-Laplacian equation. (C) 2019 Elsevier Ltd. All rights reserved.

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《Nonlinear Analysis: An International Multidisciplinary Journal》 |2019年第2019期|共23页
作者
Ricarte Gleydson C.; Araujo Janielly G.;
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作者单位

Univ Fed Ceara UFC Dept Math BR-60455760 Fortaleza Ceara Brazil;

Univ Fed Ceara UFC Dept Math BR-60455760 Fortaleza Ceara Brazil;

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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
Normalized p-Laplacian; Singularly perturbed problems; Lipschitz regularity; Porosity of the free boundary;

机译：标准化的p-laplacian;奇异于扰动的问题;嘴唇规律;自由边界的孔隙率;

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1. Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form [J] . Ricarte Gleydson C., Araujo Janielly G. Nonlinear Analysis: An International Multidisciplinary Journal . 2019,第期

机译：非发散形式P-Laplacian型方程的奇异扰动问题的最新边界规律
2. Up-to boundary regularity for a singular perturbation problem of p-Laplacian type [J] . Karakhanyan AL Journal of Differential Equations . 2006,第2期

机译：p-Laplacian型奇异摄动问题的边界正则
3. Remarks on regularity for p-Laplacian type equations in non-divergence form [J] . Attouchi Amal, Ruosteenoja Eero Journal of Differential Equations . 2018,第5期

机译：关于非分歧形式的P-LAPLACIAN型方程规律性的备注
4. Singular Perturbation of Volterra type Integrodifferential Equation for Linear Boundary Value Problems [C] . Wang guocan, Xu kesheng Ninth International Symposium on Distributed Computing and Applications to Business Engineering and Science . 2010

机译：线性边值问题的Volterra型积分微分方程的奇摄动。
5. Holder regularity of solutions of generalized p-Laplacian type parabolic equations [D] . Hwang, Sukjung. 2012

机译：广义p-Laplacian型抛物型方程解的Holder正则性
6. Positive periodic solution for p-Laplacian neutral Rayleigh equation with singularity of attractive type [O] . Yun Xin, Hongmin Liu, Zhibo Cheng -1

机译：吸引型奇异的p-Laplacian中性瑞利方程的正周期解
7. Up-to boundary regularity for a singular perturbation problem of p-Laplacian type [O] . Karakhanyan Aram L. 2006

机译：p-Laplacian型奇异摄动问题的边界正则

Up-to boundary regularity for a singular perturbation problem of p-Laplacian type equations in non-divergence form

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