9 citations · 27 across the 4 of their papers we have counts for
5 papers
Sign-changing solutions for the sinh-Poisson equation with Robin Boundary condition
Pablo Figueroa, Leonelo Iturriaga, Erwin Topp
Given and , we address the existence of solutions for the Sinh-Poisson equation with Robin boundary value condition $$ \begin{cases} Δu+ε^2 (e^{u} - e^{-u})=0 &\…
Nonnegative solutions for the fractional Laplacian involving a nonlinearity with zeros
Salomón Alarcón, Leonelo Iturriaga, Antonella Ritorto
We study the nonlocal nonlinear problem \begin{equation}\label{ppp} \left\{ \begin{array}[c]{lll} (-Δ)^s u = λf(u) & \mbox{in }Ω, \\ u=0&\mbox{on } \mathbb{R}^N\setminusΩ, \end{arr…
Sobolev versus Hölder local minimizers in degenerate Kirchhoff type problems
Leonelo Iturriaga, Eugenio Massa
In this paper we study the geometry of certain functionals associated to quasilinear elliptic boundary value problems with a degenerate nonlocal term of Kirchhoff type. Due to the…
On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation
Leonelo Iturriaga, Eugenio Massa
In this paper we propose a counterexample to the validity of the Comparison Principle and of the Sub and Supersolution Method for nonlocal problems like the stationary Kirchhoff Eq…
Local minimizers in spaces of symmetric functions and applications
Leonelo Iturriaga, Ederson Moreira dos Santos, Pedro Ubilla
We study versus local minimizers for functionals defined on spaces of symmetric functions, namely functions that are invariant by the action of some subgroups of $\math…