3 papers
math.AP2026
Prescribed--Energy Connecting Orbits for Quasilinear Conservative Systems
Renan J. S. Isneri, Piero Montecchiari
We consider quasilinear conservative systems \[ (ϕ(|\dot q|)\dot q)'=\nabla V(q), \qquad q\in\R^{N}, \] with -growth kinetic term and potential . Assuming…
math.AP2024
Uniqueness of Heteroclinic Solutions in a Class of Autonomous Quasilinear ODE Problems
Claudianor O. Alves, Renan J. S. Isneri, Piero Montecchiari
In this paper, we prove the existence, uniqueness and qualitative properties of heteroclinic solution for a class of autonomous quasilinear ordinary differential equations of the A…
math.DS2019
Prescribed energy connecting orbits for gradient systems
Francesca Alessio, Piero Montecchiari, Andres Zuniga
We are concerned with conservative systems for a general class of potentials . Assuming that a given sublevel se…