Solutions, concentrating on spheres, to symmetric singularly perturbed problems
[Solutions concentreés sur spheres des problèmes de perturbation singulière]
Ambrosetti, Antonio1 ; Malchiodi, Andrea2 ; Ni, Wei-Ming3
1 SISSA, via Beirut 2-4, 34014 Trieste, Italy
2 School of Math., Institute for Advanced Study, Princeton, NJ 08540, USA
3 School of Math., Univ. of Minnesota, Minneapolis, MN 55455, USA
Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 145-150.

Nous étudions des problèmes de perturbations singulières (NLS), (N). On montre l'existence de solutions positives qui se concentrent sur une sphère.

We discuss some existence results concerning problems (NLS) and (N), proving the existence of radial solutions concentrating on a sphere.

Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(02)02414-7
Ambrosetti, Antonio 1 ; Malchiodi, Andrea 2 ; Ni, Wei-Ming 3

1 SISSA, via Beirut 2-4, 34014 Trieste, Italy
2 School of Math., Institute for Advanced Study, Princeton, NJ 08540, USA
3 School of Math., Univ. of Minnesota, Minneapolis, MN 55455, USA 
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Ambrosetti, Antonio; Malchiodi, Andrea; Ni, Wei-Ming. Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Comptes Rendus. Mathématique, Tome 335 (2002) no. 2, pp. 145-150. doi : 10.1016/S1631-073X(02)02414-7. http://www.numdam.org/articles/10.1016/S1631-073X(02)02414-7/

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