Existence of a Positive Solution for a Class of Elliptic Problems in Exterior Domains Involving Critical Growth

Alves Claudianor O.; de Freitas Luciana R.

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Existence of a Positive Solution for a Class of Elliptic Problems in Exterior Domains Involving Critical Growth

机译：涉及临界生长的外部域中一类椭圆问题的正解

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摘要

In this work, we use variational methods to prove the existence of a positive solution for the following class of elliptic problems,

机译：在这项工作中，我们使用变分方法来证明对以下类别的椭圆问题的积极解决方案的存在，

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来源
《Milan Journal of Mathematics》 |2017年第2期|共22页
作者
Alves Claudianor O.; de Freitas Luciana R.;
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作者单位

Univ Fed Campina Grande Unidade Acad Matemat BR-58429900 Campina Grande PB Brazil;

Univ Estadual Paraiba Dept Matemat BR-58109790 Campina Grande PB Brazil;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Elliptic problems; variational methods; exterior domains; critical Sobolev exponents;

机译：椭圆形问题;变分方法;外部域;关键的sobolev指数;

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专利

1. Existence of a Positive Solution for a Class of Elliptic Problems in Exterior Domains Involving Critical Growth [J] . Alves Claudianor O., de Freitas Luciana R. Milan Journal of Mathematics . 2017,第2期

机译：涉及临界生长的外部域中一类椭圆问题的正解
2. Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain [J] . Marcelo Montenegro, Rafael Abreu Nonlinear Analysis: An International Multidisciplinary Journal . 2014,第Null期

机译：具有外部域中临界增长的椭圆问题的基态解的存在
3. Existence of unbounded positive solutions of quasilinear elliptic equations in two-dimensional exterior domains [J] . Jiqin Deng Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第10期

机译：二维外部域中拟线性椭圆型方程无界正解的存在性
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

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. Existence of many sign changing non-radial solutions for semilinear elliptic problems on annular domains. [D] . Finan, Marcel Basil. 1998

机译：环形域上半线性椭圆问题的许多符号改变非径向解的存在性。
6. Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [O] . Yanbin Sang, Siman Guo -1

机译：涉及临界Sobolev指数的拟线性椭圆问题的解
7. Existence of Positive Solutions for Semilinear Elliptic Problems involving Critical Sobolev Exponent in Unbouded Domains(Variational Problems and Related Topics) [O] . 石渡通徳 1998

机译：无约束域中具有临界Sobolev指数的半线性椭圆问题的正解的存在性（变量问题和相关主题）

Existence of a Positive Solution for a Class of Elliptic Problems in Exterior Domains Involving Critical Growth

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