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20202022
most citedWeak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.AP2022

Existence and multiplicity of solutions to magnetic Kirchhoff equations in Orlicz-Sobolev spaces

Pablo Ochoa

In this paper, we study the existence and multiplicity of weak solutions to a general type of Kirchhoff equations in magnetic fractional Orlicz-Sobolev spaces. Specifically, we app…

math.AP2021

Equivalence of solutions for non-homogeneous p(x)-Laplace equations

María Medina, Pablo Ochoa

We establish the equivalence between weak and viscosity solutions for non-homogeneous -Laplace equations with a right-hand side term depending on the spatial variable, the un…

math.AP2021★ 1 cited

Weak and viscosity solutions for non-homogeneous fractional equations in Orlicz spaces

Maria L. de Borbón, Leandro M. Del Pezzo, Pablo Ochoa

In this paper, we consider non-homogeneous fractional equations in Orlicz spaces, with a source depending on the spatial variable, the unknown function, and its fractional gradient…

math.AP2021

Existence and multiplicity of solutions for a Dirichlet problem in Fractional Orlicz- Sobolev spaces

Pablo Ochoa, Analía Silva, Maria José Suarez Marziani

In this paper, we first prove the existence of solutions to Dirichlet problems involving the fractional -Laplacian operator and lower order terms by appealing to sub- and supers…

math.AP2020

Solving singular evolution problems in sub-Riemannian groups via deterministic games

Pablo Ochoa, Julio Alejo Ruiz

In this manuscript, we prove existence of viscosity solutions to singular parabolic equations in Carnot groups. We develop the analysis by constructing appropriate deterministic ga…