Entire downward solitons to the scalar curvature flow in Minkowski space
Pierre Bayard
Universidad Nacional Autónoma de México, Ciudad Universitaria, Mexico
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Abstract
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 .
Cite this article
Pierre Bayard, Entire downward solitons to the scalar curvature flow in Minkowski space. Ann. Inst. H. Poincaré Anal. Non Linéaire 40 (2023), no. 6, pp. 1353–1383
DOI 10.4171/AIHPC/67