Multiple normalized solutions for quasi-linear Schrodinger equations
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Multiple normalized solutions for quasi-linear Schrodinger equations |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Jeanjean L, Luo T, Wang Z-Q |
| Journal | JOURNAL OF DIFFERENTIAL EQUATIONS |
| Volume | 259 |
| Pagination | 3894-3928 |
| Date Published | OCT 15 |
| Type of Article | Article |
| ISSN | 0022-0396 |
| Mots-clés | L-2-normalized solutions, Liouville type results, Perturbation method, Quasi-linear Schrodinger equations |
| Résumé | In this paper we prove the existence of two solutions having a prescribed L-2-norm for a quasi-linear Schrodinger equation. One of these solutions is a mountain pass solution relative to a constraint and the other one a minimum either local or global. To overcome the lack of differentiability of the associated functional, we rely on a perturbation method developed in [25]. (C) 2015 Elsevier Inc. All rights reserved. |
| DOI | 10.1016/j.jde.2015.05.008 |