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On the linearization of some singular, nonlinear elliptic problems and applications
Hernández, Jesús and Mancebo, Francisco J. and Vega de Prada, José Manuel
On the linearization of some singular, nonlinear elliptic problems and applications.
"Annales de l’Institut Henri Poincare (C) Non Linear Analysis", v. 19
This paper deals with the spectrum of a linear, weighted eigenvalue problem associated with a singular, second order, elliptic operator in a bounded domain, with Dirichlet boundary data. In particular, we analyze the existence and uniqueness of principal eigenvalues. As an application, we extend the usual concepts of linearization and Frechet derivability, and the method of sub and supersolutions to some semilinear, singular elliptic problems.
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