Pedro Miguel Campos

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20232026

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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

Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients

Pedro Miguel Campos, José Francisco Rodrigues

In this work, we develop the classical theory of monotone and pseudomonotone operators in the class of convex constrained Dirichlet-type problems involving fractional Riesz gradien…

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

Unilateral Problems for Quasilinear Operators with Fractional Riesz Gradients

On fractional and classical hyperbolic obstacle-type problems

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