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math.AP2021★ 4 cited
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
Given a measure on a domain , we study spacelike graphs over in Minkowski space with Lorentzian mean curvature and Dirichlet boundary condition o…
math.AP2021
On the principal eigenvalue of the truncated Laplacian, and submanifolds with bounded mean curvature
Gregório Pacelli F. Bessa, Luquésio Petrola de M. Jorge, Luciano Mari
In this paper, we study the principal eigenvalue of the fully nonlinear operator \[ \mathscr{F}_k^-[u] = \mathcal{P}_k^-(\nabla^2 u) - h |\nabla u| \] on a s…