Boundedness and monotonicity of principal eigenvalues for boundary value problems with indefinite weight functions
نویسندگان
چکیده
منابع مشابه
Boundedness and Monotonicity of Principal Eigenvalues for Boundary Value Problems with Indefinite Weight Functions
We study the principal eigenvalues (i.e., eigenvalues corresponding to positive eigenfunctions) for the boundary value problem: −∆u(x) = λg(x)u(x), x ∈ D; (∂u/∂n)(x) + αu(x) = 0, x ∈ ∂D, where ∆ is the standard Laplace operator, D is a bounded domain with smooth boundary, g : D → R is a smooth function which changes sign on D and α∈R. We discuss the relation between α and the principal eigenval...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2002
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171202007780