The authors study the following singularly perturbed problem: ?? 2 ?u V(x)u=f(u) in R N . Their main result is the existence of a family of solutions with peaks that cluster near a local maximum of V(x) . A local variational and deformation argument in an infinite dimensional space is developed to establish the existence of such a family for a general class of nonlinearities f .
| ISBN: | 9780821891636 |
| Publication date: | 30th April 2014 |
| Author: | Jaeyoung Byeon, Kazunaga Tanaka |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 89 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Differential calculus and equations |