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 
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     author = {Bayard, Pierre},
     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},
     volume = {40},
     number = {6},
     year = {2023},
     doi = {10.4171/aihpc/67},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/aihpc/67/}
}
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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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