| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398547 |
| ISSN: | 0037-8712 |
| Authors: | Talbi, M1 Tsouli, N1 |
| Institutions: | 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 1 |
| Pages: | 25-39 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | In this paper, we study the existence for two positive solutions to a nonhomogeneous elliptic equation of fourth order with a parameter λ such that 0 < λ < λ'. The first solution has a negative energy while the energy of the second one is positive for 0 < λ < λ0 and negative for λ0 < λ < λ'. The values λ0 and λ' are given under variational form and we show that every corresponding critical point is solution of the nonlinear elliptic problem (with a suitable multiplicative term) |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Análisis funcional, Análisis no lineal, Espacios de Sobolev, Ecuaciones elípticas |
| Keyword: | Mathematics, Pure mathematics, Functional analysis, Nonlinear analysis, Sobolev spaces, Elliptic equations |
| Full text: | Texto completo (Ver PDF) |
