14 citations · 18 across the 9 of their papers we have counts for
8 papers · 1 filter
Propagation in the Fisher-KPP equation with Mixed Operator
Begoña Barrios, Bryan Pichucho, Alexander Quaas
Our investigation focuses on the asymptotic spreading behavior of the Fisher-KPP equation with a mixed local-nonlocal operator in the diffusion (see the work by X. Cabré and J.-M.…
Higher regularity in nonlocal free boundary problems
Begoña Barrios, Xavier Ros-Oton, Marvin Weidner
We study the higher regularity in nonlocal free boundary problems posed for general integro-differential operators of order . Our main result is for the nonlocal one-phase (Ber…
Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas
In this paper, we investigate a mixed elliptic equation involving both local and nonlocal Laplacian operators, with a power-type nonlinearity. Specifically, we consider a Lane-Emde…
The limit as of the fractional convex envelope
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas +1
We study the behavior of the fractional convexity when the fractional parameter goes to 1. For any notion of convexity, the convex envelope of a datum prescribed on the boundary of…
The evolution problem associated with the fractional first eigenvalue
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas +1
In this paper we study the evolution problem associated with the first fractional eigenvalue. We prove that the Dirichlet problem with homogeneous boundary condition is well posed…
A priori bounds and existence of solutions for some nonlocal elliptic problems
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degre…
A critical fractional equation with concave-convex power nonlinearities
B. Barrios, E. Colorado, R. Servadei +1
In this work we study the following fractional critical problem $$ (P_λ)=\left\{\begin{array}{ll} (-Δ)^s u=λu^{q} + u^{2^*_{s}-1}, \quad u{>}0 & \mbox{in} Ω\\ u=0 & \mbox{in} \RR^n…
On some Critical Problems for the Fractional Laplacian Operator
B. Barrios, E. Colorado, A. de Pablo +1
We study the effect of lower order perturbations in the existence of positive solutions to the following critical elliptic problem involving the fractional Laplacian: (-Δ)^{α/2}u=λ…