Back to Search
Start Over
Perturbation from Dirichlet problem involving oscillating nonlinearities
- Source :
-
Journal of Differential Equations . Mar2007, Vol. 234 Issue 1, p80-90. 11p. - Publication Year :
- 2007
-
Abstract
- Abstract: In this paper we prove that if the potential has a suitable oscillating behavior in any neighborhood of the origin (respectively +∞), then under very mild conditions on the perturbation term g, for every there exists such that has at least k distinct weak solutions in , for every with . Moreover, information about the location of such solutions is also given. In fact, there exists a positive real number , which does not depend on λ, such that the -norm of each of those k solutions is not greater than σ. [Copyright &y& Elsevier]
- Subjects :
- *PERTURBATION theory
*DIRICHLET problem
*REAL numbers
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 234
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 23601822
- Full Text :
- https://doi.org/10.1016/j.jde.2006.11.011