Solutions, concentrating on spheres, to symmetric singularly perturbed problems

Antonio Ambrosetti; Andrea Malchiodi; Wei-Ming Ni

doi:10.1016/S1631-073X(02)02414-7

Solutions, concentrating on spheres, to symmetric singularly perturbed problems
[Solutions concentreés sur spheres des problèmes de perturbation singulière]

Antonio Ambrosetti ¹ ; Andrea Malchiodi ² ; Wei-Ming Ni 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

Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 145-150.

Résumé
Abstract

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 : 2002-04-08
Publié le : 2002-01-01

DOI : 10.1016/S1631-073X(02)02414-7

Affiliations des auteurs :

Antonio Ambrosetti ¹ ; Andrea Malchiodi ² ; Wei-Ming Ni 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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     author = {Antonio Ambrosetti and Andrea Malchiodi and Wei-Ming Ni},
     title = {Solutions, concentrating on spheres, to symmetric singularly perturbed problems},
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     pages = {145--150},
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     number = {2},
     year = {2002},
     doi = {10.1016/S1631-073X(02)02414-7},
     language = {en},
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Antonio Ambrosetti; Andrea Malchiodi; Wei-Ming Ni. Solutions, concentrating on spheres, to symmetric singularly perturbed problems. Comptes Rendus. Mathématique, Volume 335 (2002) no. 2, pp. 145-150. doi : 10.1016/S1631-073X(02)02414-7. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02414-7/

Bibliographie
Cité par

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