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

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.

Abstract
Résumé

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.

Accepted: 2002-04-08
Published online: 2002-01-01

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

Author's affiliations:

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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     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/

References
Cited by

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[9] W.-M. Ni; J. Wei Comm. Pure Appl. Math., 48 (1995), pp. 731-768

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