Infinitely many sign-changing solutions for a class of critical elliptic systems with Neumann conditions
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Published:2014-01-30
Issue:1
Volume:144
Page:53-69
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ISSN:0308-2105
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Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
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language:en
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Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Author:
Filho D. C. de Morais,Faria L. F. O.,Miyagaki O. H.,Pereira F. R.
Abstract
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.
Publisher
Cambridge University Press (CUP)
Subject
General Mathematics