Some indefinite nonlinear eigenvalue problems

Autor:	Suárez Fernández, Antonio, Delgado Delgado, Manuel (Coordinador), López Gómez, Julián (Coordinador), Ortega Ríos, Rafael (Coordinador), Suárez Fernández, Antonio (Coordinador)
Přispěvatelé:	Delgado Delgado, Manuel, López Gómez, Julián, Ortega Ríos, Rafael, Suárez Fernández, Antonio, Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software
Rok vydání:	2004
Předmět:	Physics Pure mathematics Nonlinear system education.field_of_study Bounded function Population Boundary (topology) Function (mathematics) education Domain (mathematical analysis) Eigenvalues and eigenvectors Sign (mathematics)
Zdroj:	idUS. Depósito de Investigación de la Universidad de Sevilla instname
Popis:	where Ω ⊂ IR is a bounded domain with a regular boundary ∂Ω, m ∈ C(Ω) changes sign, f is a regular function and λ plays the role of real parameter. We focus our attention on the case f(0) = 0 and λ > 0; similar results can be obtained for negative values of λ. Depending of the shape of f , Eq. (1) models different situations: population dynamics, population genetics, combustion theory,... see [10]. In the linear case, i.e., f(u) = u, (1) is the eigenvalue problem {−∆u = λm(x)u in Ω, u = 0 on ∂Ω. (2)
Databáze:	OpenAIRE
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