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

Author

Ben Ayed, Mohamed, El Mehdi, Khalil, and Pacella, Filomena

Subjects
*EQUATIONS, *MATHEMATICS, *MATHEMATICAL symmetry, *GROUP theory
Abstract

Abstract: 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. [Copyright &y& Elsevier]

Published
2006
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