7 citations · 8 across the 4 of their papers we have counts for
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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…
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…
Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential
Francesca G. Alessio, Piero Montecchiari
We study the existence of solutions for the semilinear elliptic systems \begin{equation}\label{eq:abs} -Δu(x,y,z)+\nabla W(u(x,y,z))=0, \end{equation} where $W:…
An energy constrained method for the existence of layered type solutions of NLS equations
Francesca Alessio, Piero Montecchiari
We study the existence of positive solutions on to semilinear elliptic equation where and is modeled on the power case . Deno…