Remi Yvant Temgoua

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20202026

most citedOn the s-derivative of weak solutions of the Poisson problem for the regional fractional Laplacian

1 citations · 1 across the 9 of their papers we have counts for

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math.AP2021

The eigenvalue problem for the regional fractional Laplacian in the small order limit

Remi Yvant Temgoua, Tobias Weth

In this note, we study the asymptotic behavior of eigenvalues and eigenfunctions of the regional fractional Laplacian $(- Δ)^{s}$ as $s \to 0^{+}$ . Our analysis leads to a study of the…

math.AP2021★ 1 cited

On the s-derivative of weak solutions of the Poisson problem for the regional fractional Laplacian

Remi Yvant Temgoua

In this paper, we analyze the $s$ -dependence of the solution $u_{s}$ to the fractional Poisson equation $(- Δ)_{Ω}^{s} = f$ in an open bounded set $Ω \subset R^{N}$ . Precisely, we s…

math.AP2021

A Hopf lemma for the regional fractional Laplacian

Nicola Abatangelo, Mouhamed Moustapha Fall, Remi Yvant Temgoua

We provide a Hopf boundary lemma for the regional fractional Laplacian $(- Δ)_{Ω}^{s}$ , with $Ω \subset R^{N}$ a bounded open set. More precisely, given $u$ a pointwise or weak sup…

math.AP2021

Existence results for nonlocal problems governed by the regional fractional Laplacian

Mouhamed Moustapha Fall, Remi Yvant Temgoua

The aim of the present paper is to study existence results of minimizers of the critical fractional Sobolev constant on bounded domains. Under some values of the fractional paramet…