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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…