Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
From MaRDI portal
Publication:5157789
DOI10.1090/proc/15745zbMath1477.35088arXiv2006.15116OpenAlexW3205933757MaRDI QIDQ5157789
Rossella Bartolo, Erasmo Caponio, Alessio Pomponio
Publication date: 20 October 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.15116
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Quasilinear elliptic equations with mean curvature operator (35J93)
Related Items (3)
Spacelike hypersurfaces in twisted product spacetimes with complete fiber and Calabi-Bernstein-type problems ⋮ Born-Infeld problem with general nonlinearity ⋮ Multiplicity and Calabi-Bernstein type asymptotic property of positive solutions for one-dimensional Minkowski-curvature problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the electrostatic Born-Infeld equation with extended charges
- On a prescribed mean curvature equation in Lorentz-Minkowski space
- On the quasi-linear elliptic PDE \({-\nabla \cdot ( \nabla{u}/ \sqrt{1-| \nabla{u} |^2}) = 4 \pi \sum_k a_k \delta_{s_k}}\) in physics and geometry
- Periodic solutions of the forced relativistic pendulum
- Existence of maximal surfaces in asymptotically flat spacetimes
- Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
- Spacelike hypersurfaces with prescribed boundary values and mean curvature
- H-surfaces in Lorentzian manifolds
- Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
- Regularity of variational maximal surfaces
- Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
- Lines in space-times
- Isolated maximal surfaces in spacetime
- Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
- Uniqueness of complete spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
- Oscillating solutions for prescribed mean curvature equations: Euclidean and Lorentz-Minkowski cases
- On the regularity of the minimizer of the electrostatic Born-Infeld energy
- Correction to: ``On the quasi-linear elliptic PDE \(-\nabla\cdot({\nabla}{u}/ \sqrt{1-|{\nabla}{u}|^2}) = 4\pi\sum_k a_k \delta_{s_k}\) in physics and geometry
- Equilibrium measures and equilibrium potentials in the Born-Infeld model
- Bifurcation of nodal radial solutions for a prescribed mean curvature problem on an exterior domain
- On the Born-Infeld equation for electrostatic fields with a superposition of point charges
- On the Schrödinger-Born-Infeld system
- Ground state solution for a problem with mean curvature operator in Minkowski space
- Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes
- L'intégration des équations de la gravitation relativiste et le problème des \(n\) corps
- The Dirichlet Problem with Mean Curvature Operator in Minkowski Space – a Variational Approach
- Bernstein-type theorems in semi-Riemannian warped products
- Constant mean curvature spacelike hypersurfaces in Lorentzian manifolds with a timelike gradient conformal vector field
- ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM
- A First Course in Sobolev Spaces
- On the quantum theory of the electromagnetic field
- Modified Field Equations with a Finite Radius of the Electron
- Simple proof of Calabi-Bernstein’s Theorem on maximal surfaces
- Maximal Hypersurfaces over Exterior Domains
- Sobolev Spaces
This page was built for publication: Spacelike graphs with prescribed mean curvature on exterior domains in the Minkowski spacetime
