Liouville theorem for k -curvature equation in half space with fully nonlinear boundary condition
Year: 2026
Type: article
Abstract: We establish the Liouville theorem for positive constant σ k {\sigma_{k}} -curvature equation in ℝ + n {\mathbb{R}_{+}^{n}} and positive constant boundary ℬ k g {\mathcal{B}_{k}^{g}} curvature equation, where the boundary curvature ℬ k g {\mathcal{B}_{k}^{g}} is discovered by Sophie Chen in [S.-Y. S. Chen, Conformal deformation on manifolds with boundary, Geom. Funct. Anal. 19 2009, 4, 1029–1064] from the natural variational functional for σ k ( A g ) {\sigma_{k}(A_{g})} .
Author: Wei Wei
Institution: Nanjing University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
Awards: G1729219615, G4603468982, G7902492752
OpenAlex ID: W7123887220