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math.AP2023
The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Sabri Bahrouni, Olimpio Miyagaki
In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution f…
math.AP2023
On the Eigenvalues of the Fractional Laplacian
Sabri Bahrouni, Hichem Hajaiej, Linjie Song
We consider the eigenvalue problem for the fractional Laplacian \begin{equation} \left\{\begin{aligned} (- Δ)_p^{s}\, u + μ(- Δ)_q^{s}\, u+ |u|^{p-2}u+μ|u|^{q-2}u=λ V(x)|u…