Pedro Miguel Campos

collaborators

3 papers

math.FA2026

Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces

Pedro Miguel Campos, Guillermo GarcÃa-SÃ¡ez

In this work we establish that the recently introduced fractional Sobolev spaces based on the Riesz fractional gradient of Musielak-Orlicz functions by one of the authors, coincide…

math.AP2024

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

Pedro Miguel Campos

We introduce a new family of function spaces, the fractional generalized Sobolev-Orlicz spaces $I^_{0}^{s, A} (I^c ◯)$ , where $A$ is a generalized $I^¦$ -function satisfying the $(\mathrm{I…

math.AP2024

An implicit two-phase obstacle-type problem for the $p$ -Laplacian with the fractional gradient

In this work we study an inhomogeneous two-phase obstacle-type problem associated to the $s$ -fractional $p$ -Laplacian. Besides the existence and uniqueness of solutions, we study t…

Generalized Sobolev-Orlicz spaces based on the Riesz fractional gradient as interpolation and potential spaces

On generalized Sobolev-Orlicz spaces associated to the Riesz fractional gradient

An implicit two-phase obstacle-type problem for the p-Laplacian with the fractional gradient

An implicit two-phase obstacle-type problem for the $p$ -Laplacian with the fractional gradient