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...
- Autores:
-
Xuan, Benjin
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2003
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73512
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73512
http://bdigital.unal.edu.co/37988/
- Palabra clave:
- singular equation
Caffarelli-Kohn-Nirenberg inequality
Mountain Pass Lemma
Linking Argument.
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| 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. |
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