Entire downward solitons to the scalar curvature flow in Minkowski space

  • Pierre Bayard

    Universidad Nacional Autónoma de México, Ciudad Universitaria, Mexico
Entire downward solitons to the scalar curvature flow in Minkowski space cover
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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 Rn\mathbb{R}^n.

Cite this article

Pierre Bayard, Entire downward solitons to the scalar curvature flow in Minkowski space. Ann. Inst. H. Poincaré Anal. Non Linéaire (2022),

DOI 10.4171/AIHPC/67