Geodesic
Entire downward solitons to the scalar curvature flow in Minkowski space
Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1353-1383

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We investigate existence and uniqueness in Minkowski space of entire downward translating solitons with prescribed values at infinity, for a scalar curvature flow equation. The radial case translates into an ordinary differential equation and the general case into a fully non-linear elliptic PDE on ℝ n .

Publié le :
DOI : 10.4171/aihpc/67
Classification : 35J60, 53C50, 53E10
Keywords: Entire soliton, Minkowski space, scalar curvature 
Bayard, Pierre. Entire downward solitons to the scalar curvature flow in Minkowski space. Annales de l'I.H.P. Analyse non linéaire, Tome 40 (2023) no. 6, pp. 1353-1383. doi: 10.4171/aihpc/67
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     title = {Entire downward solitons to the scalar curvature flow in {Minkowski} space},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1353--1383},
     year = {2023},
     volume = {40},
     number = {6},
     doi = {10.4171/aihpc/67},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/67/}
}
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