7 papers
Limiting behavior of principal eigenvalues and eigenfunctions for a class of elliptic operators with degenerate large advection
S. Cano-Casanova, J. López-Gómez, M. Molina-Meyer
In this paper we study, both numerically and analytically, the asymptotic behavior of the principal eigenfunction of \eqref{1.1}, normalized by \eqref{1.2}, as .…
High multiplicity and global structure of coexistence states in a predator-prey model with saturation
Kousuke Kuto, Julián López-Gómez, Eduardo Muñoz-Hernández
This paper establishes that, under the appropriate range of values of the parameters involved in the formulation of the model, a diffusive predator-prey system with saturation can…
Global multiplicity results in a Moore-Nehari type problem with a spectral parameter
Julián López-Gómez, Eduardo Muñoz-Hernández, Fabio Zanolin
This paper analyzes the structure of the set of positive solutions of a Moore-Nehari type problem, where is a piece-wise constant function defined for some $h\in (0,1…
A proof of a conjecture on the multiplicity of positive solutions of an indefinite superlinear problem
Guglielmo Feltrin, Julián López-Gómez, Juan Carlos Sampedro
This paper solves in a positive manner a conjecture stated in 2000 by R. Gómez-Reñasco and J. López-Gómez regarding the multiplicity of positive solutions of a paradigmatic class o…
Non-negative solutions of a sublinear elliptic problem
Julián López-Gómez, Paul H. Rabinowitz, Fabio Zanolin
In this paper the existence of solutions, , of the problem is explored for …
High multiplicity of positive solutions in a superlinear problem of Moore-Nehari type
Pablo Cubillos, Julián López-Gómez, Andrea Tellini
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in [43]. Specifically, we deal with pie…
Blow-up estimates and a priori bounds for the positive solutions of a class of superlinear indefinite elliptic problems
Julián López-Gómez, Juan Carlos Sampedro
In this paper we find out some new blow-up estimates for the positive explosive solutions of a paradigmatic class of elliptic boundary value problems of superlinear indefinite type…