Revista: | Boletim da Sociedade Paranaense de Matematica |
Base de datos: | PERIÓDICA |
Número de sistema: | 000398556 |
ISSN: | 0037-8712 |
Autores: | Nguyen Thanh Chung1 |
Instituciones: | 1Quang Binh University, Department of Mathematics and Informatics, Dong Hoi, Quang Binh. Vietnam |
Año: | 2011 |
Volumen: | 29 |
Número: | 2 |
Paginación: | 43-49 |
País: | Brasil |
Idioma: | Inglés |
Tipo de documento: | Artículo |
Enfoque: | Analítico |
Resumen en inglés | 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 |
Disciplinas: | Matemáticas |
Palabras clave: | Matemáticas puras, Análisis funcional, Análisis no lineal, Ecuaciones elípticas, Existencia |
Keyword: | Mathematics, Pure mathematics, Functional analysis, Nonlinear analysis, Elliptic equations, Existence |
Texto completo: | Texto completo (Ver PDF) |