M. Rastrelli

activity

20232026

most citedFractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the

L^{p}

setting

3 citations · 3 across the 4 of their papers we have counts for

collaborators

Showing 2025 · math.APShow all

2 papers · 2 filters

math.AP2025★ 3 cited

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the $L^{p}$ setting

Vladimir Georgiev, Mario Rastrelli

We study the perturbed Sobolev spaces $H_{α}^{s, p} (R^{d})$ , associated with singular perturbation $Δ_{α}$ of Laplace operator in Euclidean space of dimensions 2 and 3. We exte…

math.AP2025

On the Cauchy problem for the reaction-diffusion system with point-interaction in $R^{2}$

Daniele Barbera, Vladimir Georgiev, Mario Rastrelli

The paper studies the existence of solutions for the reaction-diffusion equation in $R^{2}$ with point-interaction laplacian $Δ_{α}$ with $α \in (- \infty, + \infty]$ , assuming the…

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the Lp setting

On the Cauchy problem for the reaction-diffusion system with point-interaction in R2

Fractional Sobolev Spaces for the Singular-perturbed Laplace Operator in the $L^{p}$ setting

On the Cauchy problem for the reaction-diffusion system with point-interaction in $R^{2}$