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

被引：16

作者：

Alves, Claudianor O. ^{[1
]}

de Freitas, Luciana R. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

[2] Univ Estadual Paraiba, Dept Matemat, BR-58109790 Campina Grande, PB, Brazil

来源：

MILAN JOURNAL OF MATHEMATICS | 2017年 / 85卷 / 02期

关键词：

Elliptic problems; variational methods; exterior domains; critical Sobolev exponents; SIGN CHANGING SOLUTIONS; DIRICHLET PROBLEMS; EQUATIONS; MULTIPLICITY;

D O I：

10.1007/s00032-017-0274-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we use variational methods to prove the existence of a positive solution for the following class of elliptic problems, -Delta u + u = u(q) + epsilon u(2)*(-1), in Omega, u > 0, in Omega, (P-epsilon) u is an element of H-0(1) (Omega), where Omega subset of R-N is an exterior domain, N >= 3, 1 < q < 2* - 1 and epsilon is a small positive parameter.

引用

页码：309 / 330

页数：22

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