Positive solutions of asymptotically linear elliptic eigenvalue problems

Bifurcation and stability of positive solutions of a two-point boundary value problem

“…Throughout this paper, we assume that / e C 2 [0, 1] and satisfies (1.2) / ( x ) > 0 o n ( 0 , l ) , /(l) = 0, [2] Bifurcation and stability of positive solutions 335…”

A Dirichlet problem with asymptotically linear and changing sign nonlinearity

“…We first recall the paper of Amann and Laetsch [3], in which the positivity is essential in order to apply the theory of ordered Banach spaces. If g is allowed to change sign we find in the papers of Hess [17], Ambrosetti-Hess [4] and Hess-Kato [18] some results of existence via topological degree arguments. In [13], De Figueiredo obtained result of existence using the method of sub and supersolution when g is Hölder continuous and by assuming, roughly speaking, that λ…”

“…Let us now consider a kind of nonlinearity g which has been considered by Hess [17] and Ambrosetti-Hess [4]:…”

Nonnegative solutions for the degenerate logistic indefinite sublinear equation

“…In this section we adapt the results of [5], see also [6] and [15], to show that a bifurcation from the trivial solution of (1.4) occurs at λ = 0. We include them for the reader's convenience and send to [15] for details.…”