Pedro Miguel Campos

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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…

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