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math.AP2023★ 3 cited
Fractional Sobolev spaces with kernel function on compact Riemannian manifolds
A. Aberqi, A. Ouaziz, D. D. Repovš
In this paper, a new class of Sobolev spaces with kernel function satisfying a Lévy-integrability type condition on compact Riemannian manifolds is presented. We establish the prop…
math.AP2023
Singular fractional double-phase problems with variable exponent via Morse's theory
A. Aberqi, A. Ouaziz
In this manuscript, we deal with a class of fractional non-local problems involving a singular term and vanishing potential of the form: \begin{eqnarray*} \begin{gathered} \left\{\…