Infinitely many sign-changing solutions for a class of critical elliptic systems with Neumann conditions

被引：1

作者：

de Morais Filho, D. C. ^{[1
]}

Faria, L. F. O. ^{[2
]}

Miyagaki, O. H. ^{[2
]}

Pereira, F. R. ^{[2
]}

机构：

[1] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58429970 Campina Grande, Paraiba, Brazil

[2] Univ Fed Juiz de Fora, Dept Matemat ICE, BR-36036330 Juiz De Fora, MG, Brazil

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2014年 / 144卷 / 01期

关键词：

CRITICAL SOBOLEV EXPONENT; POSITIVE SOLUTIONS; ENERGY SOLUTIONS; EQUATIONS; MULTIPLICITY; EXISTENCE;

D O I：

10.1017/S0308210512000091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we study the multiplicity results for a class of critical elliptic systems related to the Brezis-Nirenberg problem with the Neumann boundary condition on a ball. Our approach relies on a minimization argument for an auxiliary problem with a mixed boundary condition and on suitable estimates of the critical level for the system case.

引用

页码：53 / 69

页数：17

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