5 papers
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…
A robust multiplicity result in a generalized diffusive predator-prey model
Julián López-Gómez, Eduardo Muñoz-Hernández
This paper analyzes the generalized spatially heterogeneous diffusive predator-prey model introduced by the authors in \cite{LGMH20}, whose interaction terms depend on a saturation…
Rich dynamics in planar systems with heterogeneous nonnegative weights
Julián López-Gómez, Eduardo Muñoz-Hernández, Fabio Zanolin
This paper studies the global structure of the set of nodal solutions of a generalized Sturm--Liouville boundary value problem associated to the quasilinear equation $$ -(ϕ(u'))'=…