39 citations · 75 across the 32 of their papers we have counts for
6 papers · 1 filter
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…
Uniqueness, non-degeneracy, and exact multiplicity of positive solutions for superlinear elliptic problems
Guglielmo Feltrin, Christophe Troestler
In this paper, we focus our attention on the positive solutions to second-order nonlinear ordinary differential equations of the form , where is a sign-changing…
Homoclinic and heteroclinic solutions for non-autonomous Minkowski-curvature equations
Guglielmo Feltrin, Maurizio Garrione
We deal with the non-autonomous parameter-dependent second-order differential equation \begin{equation*} δ\left( \dfrac{v'}{\sqrt{1-(v')^{2}}} \right)' + q(t) f(v)= 0, \quad t\in\m…
On the number of positive solutions to an indefinite parameter-dependent Neumann problem
Guglielmo Feltrin, Elisa Sovrano, Andrea Tellini
We study the second-order boundary value problem \begin{equation*} \begin{cases} \, -u''=a_{λ,μ}(t) \, u^{2}(1-u), & t\in(0,1), \\ \, u'(0)=0, \quad u'(1)=0, \end{cases} \end{equat…
Bound sets for a class of -Laplacian operators
Guglielmo Feltrin, Fabio Zanolin
We provide an extension of the Hartman-Knobloch theorem for periodic solutions of vector differential systems to a general class of -Laplacian differential operators. Our main t…
Pairs of positive radial solutions for a Minkowski-curvature Neumann problem with indefinite weight
Alberto Boscaggin, Guglielmo Feltrin
We prove the existence of a pair of positive radial solutions for the Neumann boundary value problem \begin{equation*} \begin{cases} \, \mathrm{div}\,\Biggl{(} \dfrac{\nabla u}{\sq…