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Existence conjecture for entire spacelike graphs with prescribed mean curvature in Lorentz–Minkowski space
Entire-graph existence conjecture. There should exist an entire graph in $\mathbb{L}^3$ with prescribed mean curvature $H$ .
Conjectureopenentire-graphs lorentzian-geometry prescribed-mean-curvaturearXiv posted 2 days ago

Existence conjecture for entire spacelike graphs with prescribed mean curvature in Lorentz–Minkowski space