39 citations · 76 across the 18 of their papers we have counts for
13 papers · 1 filter
Periodic solutions to superlinear indefinite planar systems: a topological degree approach
Guglielmo Feltrin, Juan Carlos Sampedro, Fabio Zanolin
We deal with a planar differential system of the form \begin{equation*} \begin{cases} \, u' = h(t,v), \\ \, v' = - λa(t) g(u), \end{cases} \end{equation*} where is -periodic…
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'))'=…
Equilibrium points, periodic solutions and the Brouwer fixed point theorem for convex and non-convex domains
Guglielmo Feltrin, Fabio Zanolin
We show the direct applicability of the Brouwer fixed point theorem for the existence of equilibrium points and periodic solutions for differential systems on general domains satis…
Uniqueness of positive solutions for boundary value problems associated with indefinite -Laplacian type equations
Alberto Boscaggin, Guglielmo Feltrin, Fabio Zanolin
The paper provides a uniqueness result for positive solutions of the Neumann and periodic boundary value problems associated with the -Laplacian equation \begin{equation*} \bigl…
Positive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearity
Alberto Boscaggin, Guglielmo Feltrin, Fabio Zanolin
We investigate the existence of positive solutions for a class of Minkowski-curvature equations with indefinite weight and nonlinear term having superlinear growth at zero and supe…
Periodic solutions to parameter-dependent equations with a -Laplacian type operator
Guglielmo Feltrin, Elisa Sovrano, Fabio Zanolin
We study the periodic boundary value problem associated with the -Laplacian equation of the form , where is a real parameter, and are conti…