3 papers
math.AP2026
Prescribed--Energy Connecting Orbits for Quasilinear Conservative Systems
Renan J. S. Isneri, Piero Montecchiari
We consider quasilinear conservative systems \[ (Ï(|\dot q|)\dot q)'=\nabla V(q), \qquad q\in\R^{N}, \] with -growth kinetic term and potential . Assumi…
math.HO2026
On the origin of the Gibbons conjecture
Renan J. S. Isneri
The term Gibbons conjecture is widely used in connection with symmetry results for the Allen-Cahn equation. However, its origin is less transparent than its frequent citation sugge…
math.FA2025
Norms and Non-Equivalence in Infinite-Dimensional Banach Spaces
Renan J. S. Isneri, Josias V. Baca, Lucas M. Fernandes
This work explores the interaction between different norms in infinite-dimensional vector spaces, focusing on their impact on Banach space structures and topological properties. We…