Existence results for a superlinear singular equation of caffarelli-kohn-nirenberg type
In this paper, using the Mountain Pass Lemma and the LinkingArgument, we prove the existence of nontrivial weak solutions forthe Dirichlet problem for the superlinear equation of Caffarelli-Kohn- Nirenberg type in the case where the parameter L in (0, L2), L2 being the second positive eigenvalue of...
| Author: | |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2003 |
| Country: | Colombia |
| Institution: | Universidad Nacional de Colombia |
| Repository: | Repositorio UN |
| Language: | Spanish |
| OAI Identifier: | oai:repositorio.unal.edu.co:unal/73512 |
| Online Access: | https://repositorio.unal.edu.co/handle/unal/73512 http://bdigital.unal.edu.co/37988/ |
| Access Level: | Open access |
| Keyword: | singular equation Caffarelli-Kohn-Nirenberg inequality Mountain Pass Lemma Linking Argument. |
| Summary: | In this paper, using the Mountain Pass Lemma and the LinkingArgument, we prove the existence of nontrivial weak solutions forthe Dirichlet problem for the superlinear equation of Caffarelli-Kohn- Nirenberg type in the case where the parameter L in (0, L2), L2 being the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type. |
|---|