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math.AP2022
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…
math.AP2022
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…