Infinitely many sign-changing solutions for a class of critical elliptic systems with Neumann conditions. Issue 1 (30th January 2014)

• Record Type: Journal Article
• Authors: Filho, D. C. de Morais; Faria, L. F. O.; Miyagaki, O. H.; Pereira, F. R.
• Is Part Of: Proceedings. Volume 144:Issue 1(2014)
• Page Start: 53
• Page End: 69
• Publication Date: 2014-01-30
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1017/S0308210512000091
• Languages: English
• ISSNs: 0308-2105

Abstract

<abstract abstract-type="normal"> <title> <x content-type="archive" xml:space="preserve">Abstract</x> </title> <p>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.</p> </abstract>