4 papers
Kirchhoff-type equations involving the Fractional Laplacian
Lisbeth Carrero, Pedro Hernández-Llanos
In this paper, we study the existence and nonexistence of solutions for the following Kirchhoff-type fractional -Laplacian problem: \begin{equation*} \begin{cases} M\…
Existence of solutions to a quasilinear nonlocal PDE
Lisbeth Carrero, Alexander Quaas, Andres Zuniga
In this paper, we introduce a new class of quasilinear operators, which represents a nonlocal version of the operator studied by Stuart and Zhou [1], inspired by models in nonlinea…
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…
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…