Dirichlet problem for the equation of a given Lorentz-Gaussian curvature
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Publication:2644849
DOI10.1007/BF01060827zbMath0724.35039OpenAlexW2152542232MaRDI QIDQ2644849
Publication date: 1990
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01060827
Nonlinear boundary value problems for linear elliptic equations (35J65) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Related Items (12)
Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces ⋮ Curvature estimates of hypersurfaces in the Minkowski space ⋮ The global curvature estimate for the \(n - 2\) Hessian equation ⋮ Positive rotationally symmetric solutions for a Dirichlet problem involving the higher mean curvature operator in Minkowski space ⋮ Spectrum, bifurcation and hypersurfaces of prescribed k-th mean curvature in Minkowski space ⋮ Curvature estimates for spacelike graphic hypersurfaces in Lorentz–Minkowski space R1n+1$\mathbb {R}^{n+1}_{1}$ ⋮ Construction of spheres with handles and non-vanishing mean curvature in the Euclidean 3-space. ⋮ The prescribed curvature problem for entire hypersurfaces in Minkowski space ⋮ Prescribing Gauss curvature of surfaces in 3-dimensional spacetimes. Application to the Minkowski problem in the Minkowski space ⋮ Unnamed Item ⋮ Entire spacelike hypersurfaces of prescribed scalar curvature in Minkowski space ⋮ Entire spacelike hypersurfaces of prescribed Gauss curvature in Minkowski space
Cites Work
- Spacelike hypersurfaces with prescribed boundary values and mean curvature
- Radially symmetric boundary value problems for real and complex elliptic Monge-Ampère equations
- Über nichtlineare, konkave elliptische Differentialgleichungen. (On nonlinear concave elliptic differential equations)
- The Dirichlet problem for the equation of prescribed Gauss curvature
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- A Remark on Linear Elliptic Differential Equations of Second Order
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