7 papers
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…
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…
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…
Saddle solutions for Allen-Cahn type equations involving the prescribed mean curvature operator
Renan J. S. Isneri
The goal of this paper is to investigate the existence of saddle solutions for some classes of elliptic partial differential equations of the Allen-Cahn type, formulated as follows…
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…
Heteroclinic solutions for some classes of prescribed mean curvature equations in whole
Claudianor O. Alves, Renan J. S. Isneri
The purpose of this paper consists in using variational methods to establish the existence of heteroclinic solutions for some classes of prescribed mean curvature equations of the…
Irracionalidade recíproca
Renan Jackson Soares Isneri, Vandenberg Lopes Vieira, Maxwell Aires da Silva
Prime numbers play a key role in number theory and have applications beyond Mathematics. In particular, in the Theory of Codes and also in Cryptography, the properties of prime num…