Pedro Miguel Campos

collaborators

3 papers

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 $Λ_{0}^{s, A} (Ω)$ , where $A$ is a generalized $Φ$ -function satisfying the $(\mathrm{Inc}…

math.AP2024

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

Pedro Miguel Campos, José Francisco Rodrigues

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…

math.AP2023

On fractional and classical hyperbolic obstacle-type problems

Pedro Miguel Campos, José Francisco Rodrigues

We consider weak solutions for the obstacle-type viscoelastic ( $ν > 0$ ) and very weak solutions for the obstacle inviscid ( $ν = 0$ ) Dirichlet problems for the heterogeneous and anisotr…

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

On fractional and classical hyperbolic obstacle-type problems

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