Geodesic
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

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

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

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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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     title = {Solutions, concentrating on spheres, to symmetric singularly perturbed problems},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {145--150},
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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

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