Geodesic
M-Convergence of p-Fractional Energies in Irregular Domains
Journal of convex analysis, Tome 28 (2021) no. 2, pp. 509-534
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We study the asymptotic behavior of anomalous p-fractional energies in bad domains via the M-convergence. These energies arise naturally when studying Robin-Venttsel' problems for the regional fractional p-Laplacian. We provide a suitable notion of fractional normal derivative on irregular sets via a fractional Green formula as well as existence and uniqueness results for the solution of the Robin-Venttsel' problem by a semigroup approach. Markovianity properties of the associated semigroup are proved.
Classification : 35R11, 35B40, 28A80, 47H20, 47J35
Mots-clés : Fractional p-Laplacian, fractal domains, fractional Green formula, M-convergence, nonlinear semigroups, dynamical boundary conditions 
@article{JCA_2021_28_2_JCA_2021_28_2_a11,
     author = {S. Creo and M. R. Lancia and P. Vernole},
     title = {M-Convergence of {p-Fractional} {Energies} in {Irregular} {Domains}},
     journal = {Journal of convex analysis},
     pages = {509--534},
     year = {2021},
     volume = {28},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a11/}
}
TY  - JOUR
AU  - S. Creo
AU  - M. R. Lancia
AU  - P. Vernole
TI  - M-Convergence of p-Fractional Energies in Irregular Domains
JO  - Journal of convex analysis
PY  - 2021
SP  - 509
EP  - 534
VL  - 28
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a11/
ID  - JCA_2021_28_2_JCA_2021_28_2_a11
ER  - 
%0 Journal Article
%A S. Creo
%A M. R. Lancia
%A P. Vernole
%T M-Convergence of p-Fractional Energies in Irregular Domains
%J Journal of convex analysis
%D 2021
%P 509-534
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a11/
%F JCA_2021_28_2_JCA_2021_28_2_a11
S. Creo; M. R. Lancia; P. Vernole. M-Convergence of p-Fractional Energies in Irregular Domains. Journal of convex analysis, Tome 28 (2021) no. 2, pp. 509-534. http://geodesic.mathdoc.fr/item/JCA_2021_28_2_JCA_2021_28_2_a11/