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.
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页码：53 / 69
页数：17
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