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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…