# The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space

## Related Articles

- Ginzburgâ€“Landau Vortex and Mean Curvature Flow with External Force Field. Jian, Huai Yu; Liu, Yan Nan // Acta Mathematica Sinica;Oct2006, Vol. 22 Issue 6, p1831
This paper is devoted to the study of the vortex dynamics of the Cauchy problem for a parabolic Ginzburgâ€“Landau system which simulates inhomogeneous type II superconducting materials and threeâ€“dimensional superconducting thin films having variable thickness. We will prove that the...

- Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in $\mathbb R^{n,1}$. Pierre Bayard // Calculus of Variations & Partial Differential Equations;Sep2003, Vol. 18 Issue 1, p1
We study the Dirichlet problem for the fully nonlinear elliptic partial differential equation of second order expressing the prescription of the m th symmetric function of the principal curvatures of a spacelike hypersurface in the Minkowski space $\mathbb R^{n,1}.$ We completely solve the...

- TRANSLATION SURFACES WITH CONSTANT MEAN CURVATURE IN 3-DIMENSIONAL SPACES. Huili Liu // Journal of Geometry;Mar1999, Vol. 64 Issue 1/2, p141
Focuses on the classification of the translation surfaces with constant mean curvature. Determination of Gauss curvature in three-dimensional Euclidean and Minkowski space; Problem in constructing the constant mean curvature; Analysis of mean curvature hypersurfaces in arbitrary spacetime.

- Space-time defects: Open and closed shells. Letelier, Patricio S. // Journal of Mathematical Physics;Jun95, Vol. 36 Issue 6, p3043
Focuses on the derivation of a class of space-times with zero curvature tensor except on a hypersurface. Existence of Einstein equation characterized by curvature tensors proportional to Dirac distribution with support on a hypersurface; Metrics that represent pure space-time defects;...

- Dirichlet problem on the upper half space. YANG, DEWU; REN, YUDONG // Proceedings of the Indian Academy of Sciences: Mathematical Scie;May2014, Vol. 124 Issue 2, p175
In this paper, a solution of the Dirichlet problem on the upper half space for a fast growing continuous boundary function is constructed by the generalized Dirichlet integral with this boundary function.

- The Phase Space of the Cauchy—Dirichlet Problem for a Nonclassical Equation. Sviridyuk, G. A.; Ankudinov, A. V. // Differential Equations;Nov2003, Vol. 39 Issue 11, p1639
This article focuses on the phase space of the Cauchy-Dirichlet Problem for a non-classical equation. The Oskolkov system describes the dynamics of an incompressible viscoelastic Kelvin-Voigt fluid. The main result of the present article is the proof of the fact that the phase space of problem...

- Generalized Twisted Kloosterman Sum Over â„¤[ i]. Varbanets, S. // Ukrainian Mathematical Journal;Oct2014, Vol. 66 Issue 5, p678
The twisted Kloosterman sums over Z were studied by V. Bykovsky, A.Vinogradov, N. Kuznetsov, R. W. Bruggeman, R. J. Miatello, I. Pacharoni, A. Knightly, and C. Li. In our paper, we obtain similar estimates for K(Î±, Î²; Î³; q) over â„¤[ i] and improve the estimates obtained for the...

- Coplanar k-Unduloids Are Nondegenerate. Große-Brauckmann, Karsten; Korevaar, Nicholas J.; Kusner, Robert B.; Ratzkin, Jesse; Sullivan, John M. // IMRN: International Mathematics Research Notices;Sep2009, Vol. 2009 Issue 18, p3391
We prove each embedded, constant mean curvature (CMC) surface in Euclidean space with genus zero and finitely many coplanar ends is nondegenerate: there is no nontrivial square-integrable solution to the Jacobi equation, the linearization of the CMC condition. This implies that the moduli space...

- On the Trajectory Null Scrolls in 3-Dimensional Minkowski Space-Time E13. Ersoy, Soley; Tosun, Murat // Kyungpook Mathematical Journal;2008, Vol. 48 Issue 1, p81
In this paper, the trajectory null scroll in 3-dimensional Minkowski space-time E13 is given by a firmly connected null oriented line moving with Cartan frame along null curve. Some theorems and results between curvatures of base curve and distribution parameter of this surface are obtained....