C. A. Santos

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math.AP2026

On singular problems in nonreflexive fractional Orlicz-Sobolev spaces

Marcos L. M. Carvalho, Luana C. M. Lima, Carlos A. P. Santos +1

In this work, we deal with existence and uniqueness of positive solution $u_{s}$ for the singular quasilinear problem $(- Δ_{Φ})^{s} u = u^{- γ}$ in the nonreflexive fractional Orlicz-Sobolev…

math.AP2025

Logistic elliptic and parabolic problem for the fractional $p$ -Laplacian

Loïc Constantin, Carlos Alberto Santos, Guillaume Warnault

In this paper we prove existence, uniqueness of weak solutions of the following nonlocal nonlinear logistic equation \begin{equation*} \begin{cases} (-Δ)_p^s u_λ=λu_λ^q - b(x)u_λ^r…

On singular problems in nonreflexive fractional Orlicz-Sobolev spaces

Logistic elliptic and parabolic problem for the fractional p-Laplacian

Logistic elliptic and parabolic problem for the fractional $p$ -Laplacian