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Blow-up and symmetry of sign-changing solutions to some critical elliptic equations
Journal article   Open access  Peer reviewed

Blow-up and symmetry of sign-changing solutions to some critical elliptic equations

Mohamed Ben Ayed, Khalil El Mehdi and Filomena Pacella
Journal of Differential Equations, Vol.230(2), pp.771-795
15/11/2006
DOI: https://doi.org/10.1016/j.jde.2006.05.008

Abstract

Blow-up analysis Critical exponent Nodal domains Sign-changing solutions
In this paper we continue the analysis of the blow-up of low energy sign-changing solutions of semi-linear elliptic equations with critical Sobolev exponent, started in [M. Ben Ayed, K. El Mehdi, F. Pacella, Blow-up and nonexistence of sign-changing solutions to the Brezis–Nirenberg problem in dimension three, Ann. Inst. H. Poincaré Anal. Non Linéaire, in press]. In addition we prove axial symmetry results for the same kind of solutions in a ball.
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https://doi.org/10.1016/j.jde.2006.05.008View
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