13 citations · 18 across the 10 of their papers we have counts for
12 papers
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…
The role of convection in the limit shape of the critical front profile for Born-Infeld diffusion models
Maurizio Garrione, Mohamed Jleli, Bessem Samet
In this paper, we deal with models with Born-Infeld type diffusion and monostable reaction, investigating the effect of the introduction of a convection term on the limit shape of…
Asymptotic study of critical wave fronts for parameter-dependent Born-Infeld models: physically predicted behaviors and new phenomena
Maurizio Garrione
In this paper, we study some parameter-dependent reaction-diffusion models governed by the Born-Infeld (or Minkowski) operator. In dependence on two parameters , related…
On the stability of a nonlinear non homogeneous multiply hinged beam
E. Berchio, A. Falocchi, M. Garrione
The paper deals with a nonlinear evolution equation describing the dynamics of a non homogeneous multiply hinged beam, subject to a nonlocal restoring force of displacement type. F…
Vanishing diffusion limits for planar fronts in bistable models with saturation
Maurizio Garrione
We deal with heteroclinic planar fronts for parameter-dependent reaction-diffusion equations with bistable reaction and saturating diffusive term like $$ u_t=ε\, \textrm{div}\, \le…
Linear and nonlinear equations for beams and degenerate plates with multiple intermediate piers
Maurizio Garrione, Filippo Gazzola
A full theory for hinged beams and degenerate plates with multiple intermediate piers is developed. The analysis starts with the variational setting and the study of the linear sta…
Stability properties and dynamics of solutions to viscous conservation laws with mean curvature operator
Raffaele Folino, Maurizio Garrione, Marta Strani
In this paper we study the long time dynamics of the solutions to the initial-boundary value problem for a scalar conservation law with a saturating nonlinear diffusion. After disc…
Loss of energy concentration in nonlinear evolution beam equations
Maurizio Garrione, Filippo Gazzola
Motivated by the oscillations that were seen at the Tacoma Narrows Bridge, we introduce the notion of solutions with a prevailing mode for the nonlinear evolution beam equation $$…
Monotone wave fronts for -Laplacian driven reaction-diffusion equations
Maurizio Garrione, Marta Strani
We study the existence of monotone heteroclinic traveling waves for the -dimensional reaction-diffusion equation wh…
Pairs of nodal solutions for a Minkowski-curvature boundary value problem in a ball
Alberto Boscaggin, Maurizio Garrione
By using a shooting technique, we prove that the quasilinear boundary value problem $$ \textrm{div} \, \left( \frac{\nabla u}{\sqrt{1-| \nabla u |^2}}\right) + λq(| x |) | u |^{p-1…
Heteroclinic traveling fronts for a generalized Fisher-Burgers equation with saturating diffusion
Maurizion Garrione, Marta Strani
We study the existence of monotone heteroclinic traveling waves for a general Fisher-Burgers equation with nonlinear and possibly density-dependent diffusion. Such a model arises,…
Positive solutions to indefinite Neumann problems when the weight has positive average
Alberto Boscaggin, Maurizio Garrione
We deal with positive solutions for the Neumann boundary value problem associated with the scalar second order ODE where $g: [0, +\inft…