| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4670794 | Comptes Rendus Mathematique | 2009 | 6 Pages |
Abstract
The existence of positive solutions to−ε2Δu+Vu=upin RN, is proved for small ε , where N⩾3N⩾3, V is a nonnegative continuous potential which has a positive local minimum, and NN−2 RésuméNous prouvons l'existence de solutions positives non triviales de−ε2Δu+Vu=updans RN, pour ε petit, où N⩾3N⩾3, V est potentiel continu positif qui a un minimum local strictement positif et NN−2
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Vitaly Moroz, Jean Van Schaftingen,