Geodesic
Mean value formulas on surfaces in Grushin spaces
Valentina Franceschi1 ; Roberto Monti1 ; Alessandro Socionovo2
1Università di Padova, Dipartimento di Matematica Tullio Levi Civita
2Sorbonne Université, Université de Paris, Laboratoire Jacques-Louis Lions, CNRS, Inria
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 241–255

Voir la notice de l'article provenant de la source Journal.fi

We prove (sub)mean value formulas at the point $0\in\Sigma$ for (sub)harmonic functions on a hypersurface $\Sigma\subset\mathbb{R}^{n+1}$ where the differentiable structure and the surface measure depend on the ambient Grushin structure.
DOI : 10.54330/afm.144565
Keywords: Mean and submean value formula, Grushin spaces, characteristics submanifolds

Valentina Franceschi  1   ; Roberto Monti  1   ; Alessandro Socionovo  2

1 Università di Padova, Dipartimento di Matematica Tullio Levi Civita
2 Sorbonne Université, Université de Paris, Laboratoire Jacques-Louis Lions, CNRS, Inria 
Valentina Franceschi; Roberto Monti; Alessandro Socionovo. Mean value formulas on surfaces in Grushin spaces. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 241–255. doi: 10.54330/afm.144565
@article{AFM_2024_49_1_a11,
     author = {Valentina Franceschi and Roberto Monti and Alessandro Socionovo},
     title = {Mean value formulas on surfaces in {Grushin} spaces},
     journal = {Annales Fennici Mathematici},
     pages = {241{\textendash}255--241{\textendash}255},
     year = {2024},
     volume = {49},
     number = {1},
     doi = {10.54330/afm.144565},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.54330/afm.144565/}
}
TY  - JOUR
AU  - Valentina Franceschi
AU  - Roberto Monti
AU  - Alessandro Socionovo
TI  - Mean value formulas on surfaces in Grushin spaces
JO  - Annales Fennici Mathematici
PY  - 2024
SP  - 241–255
EP  - 241–255
VL  - 49
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.54330/afm.144565/
DO  - 10.54330/afm.144565
LA  - en
ID  - AFM_2024_49_1_a11
ER  - 
%0 Journal Article
%A Valentina Franceschi
%A Roberto Monti
%A Alessandro Socionovo
%T Mean value formulas on surfaces in Grushin spaces
%J Annales Fennici Mathematici
%D 2024
%P 241–255-241–255
%V 49
%N 1
%U http://geodesic.mathdoc.fr/articles/10.54330/afm.144565/
%R 10.54330/afm.144565
%G en
%F AFM_2024_49_1_a11

Cité par Sources :