A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition
We say that a PDE on the hyperbolic space Hn of constant sectional curvature - 1 , n≥ 2 , is geometric if, whenever u is a solution of the PDE on a domain Ω of Hn, the composition uϕ: = u∘ ϕ is also a solution on ϕ- 1(Ω) for any isometry ϕ of Hn. We prove that if u∈ C1(Hn) is a solution of a geometr...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Birkhauser
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |