3 papers
math.AP2021
Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation
André de Laire, Salvador López-Martínez
We consider the nonlocal Gross-Pitaevskii equation that models a Bose gas with general nonlocal interactions between particles in one spatial dimension, with constant density far a…
math.AP2021
A blow-up approach for singular elliptic problems with natural growth in the gradient
Salvador López-Martínez
We prove existence and nonexistence results concerning elliptic problems whose basic model is \begin{equation*} \begin{cases} \displaystyle-Δu+μ(x)\frac{|\nabla u|^2}{(u+δ)^γ}= λu^…
math.AP2019
Nonexistence result for a semilinear elliptic problem
Salvador López-Martínez, Alexis Molino
In this paper we prove the nonexistence of nontrivial solution to \begin{equation*} \begin{cases} -Δu =f(u) &\text{in }Ω, \\ u=0 &\text{on } \partial Ω, \end{cases} \end{equation*}…