Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order
Título del documento: Positive solutions with changing sign energy to a nonhomogeneous elliptic problem of fourth order
Revista: Boletim da Sociedade Paranaense de Matematica
Base de datos: PERIÓDICA
Número de sistema: 000398547
ISSN: 0037-8712
Autores: 1
1
Instituciones: 1Universite Mohammed Premier, Faculte des Sciences, Oujda. Marruecos
Año:
Volumen: 29
Número: 1
Paginación: 25-39
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés 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)
Disciplinas: Matemáticas
Palabras clave: Matemáticas puras,
Análisis funcional,
Análisis no lineal,
Espacios de Sobolev,
Ecuaciones elípticas
Keyword: Mathematics,
Pure mathematics,
Functional analysis,
Nonlinear analysis,
Sobolev spaces,
Elliptic equations
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