146 citations · 354 across the 28 of their papers we have counts for
31 papers
Periodic fractional Ambrosetti-Prodi for one-dimensional problem with drift
Begoña Barrios, Lisbeth Carrero, Alexander Quaas
We establish Ambrosetti -Prodi type results for periodic solutions of one -dimensional nonlinear problems with drift term and drift -less whose principal operator is the fractional…
On large solutions for fractional Hamilton-Jacobi equations
Gonzalo Dávila, Alexander Quaas, Erwin Topp
We study the existence of large solutions for nonlocal Dirichlet problems posed on a bounded, smooth domain, associated to fully nonlinear elliptic equations of order , with $s…
Large-time behavior of unbounded solutions of the viscous Hamilton-Jacobi equation: quadratic and subquadratic cases
Alexander Quaas, Andrei Rodríguez-Paredes
We determine the large-time behavior of unbounded solutions for the so-called viscous Hamilton Jacobi equation, , in the quadratic and subquadratic cases…
Traveling fronts for the generalized Fisher-KPP equation with nonlocal diffusion
José Fuentealba, Alexander Quaas
The aim of this paper is to study the generalized Fisher-KPP equation with nonlocal diffusion. In specific we prove the existence of a critical speed so that traveling front type s…
A note on one-dimensional symmetry for Hamilton-Jacobi equations with extremal Pucci operators and application to Bernstein type estimate
Rodrigo Fuentes, Alexander Quaas
We prove a Liouville-type theorem that is one-dimensional symmetry and classification results for non-negative -viscosity solutions of the equation \begin{equation*} -\mathcal…
Periodic solutions for one-dimensional nonlinear nonlocal problem with drift including singular nonlinearities
Lisbeth Carrero, Alexander Quaas
In this paper, we prove existence results of a one-dimensional periodic solution to equations with the fractional Laplacian of order , singular nonlinearity, and gradi…