On an elliptic equation of p-Laplacian type with nonlinear boundary condition



Título del documento: On an elliptic equation of p-Laplacian type with nonlinear boundary condition
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000398556
ISSN: 0037-8712
Autores: 1
Instituciones: 1Quang Binh University, Department of Mathematics and Informatics, Dong Hoi, Quang Binh. Vietnam
Año:
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
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