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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…
Bifurcation Theory for a Class of Periodic Superlinear Problems
Eduardo Muñoz-Hernández, Juan Carlos Sampedro, Andrea Tellini
We analyze, mainly using bifurcation methods, an elliptic superlinear problem in one-dimension with periodic boundary conditions. One of the main novelties is that we follow for th…
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'))'=…
Planar Hamiltonian systems: index theory and applications to the existence of subharmonics
Alberto Boscaggin, Eduardo Muñoz-Hernández
We consider a planar Hamiltonian system of the type , where is a function periodic in the time variable, s…