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math.AP2021
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…
math.AP2020
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…
math.AP2019
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…