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

In this work we study the multiplicity results for a class of critical elliptic systems related to the Brézis–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 estim...

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2014-02, Vol.144 (1), p.53-69
Main Authors: Filho, D. C. de Morais, Faria, L. F. O., Miyagaki, O. H., Pereira, F. R.
Format: Article
Language:English
Subjects:
Boundary conditions
Estimates
Mathematical analysis
Minimization
Optimization
Online Access:Get full text
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Summary:In this work we study the multiplicity results for a class of critical elliptic systems related to the Brézis–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.
ISSN:0308-2105
1473-7124
DOI:10.1017/S0308210512000091