61 citations · 86 across the 13 of their papers we have counts for
17 papers · 1 filter
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…
Pointwise convergence of the heat and subordinates of the heat semigroups associated with the Laplace operator on homogeneous trees and two weighted maximal inequalities
I. Alvarez-Romero, B. Barrios, J. J. Betancor
In this paper we consider the heat semigroup defined by the combinatorial Laplacian and two subordinated families of on homogeneous trees . We ch…
Linear non-degeneracy and uniqueness of the bubble solution for the critical fractional Hénon equation in
S. Alarcón, B. Barrios, A. Quaas
We study the equation \begin{equation*}\label{P0} (-Δ)^s u = |x|^α u^{\frac{N+2s+2α}{N-2s}}\mbox{ in }\mathbb{R}^N,\tag{P} \end{equation*} where is the fractional Laplacia…
Equivalence of weak and viscosity solutions in fractional non-homogeneous problems
Begoña Barrios, Maria Medina
We establish the equivalence between the notions of weak and viscosity solutions for non-homogeneous equations whose main operator is the fractional p-Laplacian and the lower order…
Study of the existence of supersolutions for nonlocal equations with gradient terms
Begoña Barrios, Leandro M. Del Pezzo
We study the existence of positive supersolutions of nonlocal equations in exterior domains where the datum can be comparade with near th…
The sharp exponent in the study of the nonlocal Hénon equation in . A Liouville theorem and an existence result
B. Barrios, A. Quaas
We will consider the nonlocal Hénon equation where is the fractional Laplacian operator with , , and $N…