Solutions to overdetermined elliptic problems in nontrivial exterior domains

Ros Antonio; Ruiz David; Sicbaldi Pieralberto

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Solutions to overdetermined elliptic problems in nontrivial exterior domains

机译：非竞争外部域中过度确定的椭圆问题的解决方案

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摘要

In this paper we construct nontrivial exterior domains Omega subset of R-N, for all N >= 2, such that the problem

机译：在本文中，我们构建了所有n> = 2的非竞争外部域Omega子集，使得问题

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《Journal of the European Mathematical Society: JEMS》 |2020年第1期|共29页
作者
Ros Antonio; Ruiz David; Sicbaldi Pieralberto;
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作者单位

Univ Granada Dept Geometria &

Topol Campus Fuentenueva E-18071 Granada Spain;

Univ Granada Dept Anal Matemat Campus Fuentenueva E-18071 Granada Spain;

Univ Granada Dept Geometria &

Topol Campus Fuentenueva E-18071 Granada Spain;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Overdetermined semilinear elliptic problems; exterior domains; local bifurcation;

机译：过度确定的半线性椭圆问题;外部域;局部分叉;

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1. 一类无界区域中的椭圆型系统非局部边值问题 [J] . 莫嘉琪, 张汉林数学季刊（英文版） . 2001,第003期
2. Solutions to overdetermined elliptic problems in nontrivial exterior domains [J] . Ros Antonio, Ruiz David, Sicbaldi Pieralberto Journal of the European Mathematical Society: JEMS . 2020,第1期

机译：非竞争外部域中过度确定的椭圆问题的解决方案
3. NONNEGATIVE SOLUTIONS WITH A NONTRIVIAL NODAL SET FOR ELLIPTIC EQUATIONS ON SMOOTH SYMMETRIC DOMAINS [J] . P. POLá?IK, SUSANNA TERRACINI Proceedings of the American Mathematical Society . 2014,第4期

机译：光滑对称域上椭圆方程的非平凡结点集的非负解
4. Nontrivial solutions of elliptic equations with supercritical exponent in contractible domains [J] . Passaseo D. Duke mathematical journal . 1998,第2期

机译：收缩域中具有超临界指数的椭圆型方程的非平凡解
5. The Discussion for the Existence of Nontrivial Solutions About a Kind of Quasi-Linear Elliptic Equations [C] . Bingyu Kou, Lei Mao, Xinghu Teng, International symposium on IT in medicine and education . 2014

机译：一类拟线性椭圆方程非平凡解的存在性讨论
6. High-order solution of elliptic partial differential equations in domains containing conical singularities [D] . Li, Zhiyi. 2009

机译：圆锥奇异域中椭圆偏微分方程的高阶解
7. EXTERIOR DIFFERENTIAL SYSTEMS AND ELLIPTIC EQUATIONS [O] . Bruce L. Reinhart, Shlomo Sternberg 1959

机译：外部微分系统和椭圆方程
8. Solutions to overdetermined elliptic problems in nontrivial exterior domains [O] . Antonio Ros, David Ruiz, Pieralberto Sicbaldi 2019

机译：非竞争外部域中过度确定的椭圆问题的解决方案

Solutions to overdetermined elliptic problems in nontrivial exterior domains

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