|
|||||
|
|
Blow-up and symmetry of sign-changing solutions to some critical elliptic equations |
|
| Authors: | Mohamed Ben Ayed Filomena Pacella |
| Institution: | a Département de Mathématiques, Faculté des Sciences de Sfax, Route Soukra, Sfax, Tunisia b Faculté des Sciences et Techniques, Université de Nouakchott, BP 5026, Nouakchott, Mauritania c Dipartimento di Matematica, Universitá di Roma “La Sapienza”, P. le A. Moro 2, 00185 Roma, Italy |
| 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. |
| Keywords: | 35J20 35J60 |
| 本文献已被 ScienceDirect 等数据库收录！ | |