| Journal: | Boletim da Sociedade Paranaense de Matematica |
| Database: | PERIÓDICA |
| System number: | 000398556 |
| ISSN: | 0037-8712 |
| Authors: | Nguyen Thanh Chung1 |
| Institutions: | 1Quang Binh University, Department of Mathematics and Informatics, Dong Hoi, Quang Binh. Vietnam |
| Year: | 2011 |
| Volumen: | 29 |
| Number: | 2 |
| Pages: | 43-49 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We consider elliptic equations of p-Laplacian type with the nonlinear boundary condition of the form ( −∆pu + |u| p−2u = λf1(u) + µg1(u) in Ω, |∇u| p−2 ∂u ∂n = λf2(u) + µg2(u) in ∂Ω, where Ω ⊂ RN (N ≧ 3) is a bounded domain with smooth boundary ∂Ω, ∂ ∂n is the outer unit normal derivative, λ, µ are parameters. The functions fi, i = 1, 2, are assumed to be (p − 1)-sublinear while gi, i = 1, 2, are (p − 1)-assymptotically linear at infinity. Using variational techniques, an existence result is given |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Análisis funcional, Análisis no lineal, Ecuaciones elípticas, Existencia |
| Keyword: | Mathematics, Pure mathematics, Functional analysis, Nonlinear analysis, Elliptic equations, Existence |
| Full text: | Texto completo (Ver PDF) |
