Positive solutions for singular nonlinear elliptic equations
Jesús Hernández, Francisco José Mancebo, Jose Manuel Vega · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2007
This paper deals with singular semilinear elliptic equations in bounded domains with Dirichlet boundary data. The elliptic operator is a second-order operator not necessarily in divergence form. We consider existence, uniqueness and linearized stability of positive solutions for a series of nonlinear eigenvalue problems.