Results 11 to 20 of about 524 (55)

Estimates for the volume of a Lorentzian manifold

, 2002
We prove new estimates for the volume of a Lorentzian manifold and show especially that cosmological spacetimes with crushing singularities have finite volume.Comment: 8 pages, a pdf version of the preprint can also be retrieved from http://www.math ...
C. Gerhardt, C. Gerhardt, C. Gerhardt, Claus Gerhardt, D. Eardley, S. W. Hawking   +5 more
core   +3 more sources

Singular limits solution for 2-dimensional elliptic problems involving exponential nonlinearities with sub-quadratic convection nonlinear gradient terms and singular weights

Advances in Nonlinear Analysis, 2014
Given a bounded open regular set Ω of ℝ2$\mathbb {R}^2$, q1,...,qK∈Ω${q_1, \ldots , q_K \hspace*{-0.85358pt}\in \hspace*{-0.85358pt} \Omega }$, a regular bounded function ϱ:Ω→[0,+∞)${\varrho \hspace*{-0.56905pt}:\hspace*{-0.56905pt} \Omega \hspace*{-0 ...
Baraket Sami, Ouni Taieb
doaj   +1 more source

On the lower bound of the inner radius of nodal domains

, 2019
We discuss the asymptotic lower bound on the inner radius of nodal domains that arise from Laplacian eigenfunctions \varphi _{\lambda} on a closed Riemannian manifold (M, g) .
Georgiev, B.
core   +1 more source

Elliptic operators and their symbols

Demonstratio Mathematica, 2019
We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
doaj   +1 more source

Heat flow method to Lichnerowicz type equation on closed manifolds

, 2010
In this paper, we establish existence results for positive solutions to the Lichnerowicz equation of the following type in closed manifolds -\Delta u=A(x)u^{-p}-B(x)u^{q},\quad in\quad M, where $p>1, q>0$, and $A(x)>0$, $B(x)\geq0$ are given smooth ...
D.H. Sattinger, E. Hebey, J. Isenberg, L. Ma, Li Ma, O. Druet, Th. Aubin, Xiao Tang, Y. Choquet-Bruhat, Y. Choquet-Bruhat, Y. Du, Yuhua Sun   +11 more
core   +1 more source

Curvature estimates for Weingarten hypersurfaces in Riemannian manifolds

, 2008
We prove curvature estimates for general curvature functions. As an application we show the existence of closed, strictly convex hypersurfaces with prescribed curvature $F$, where the defining cone of $F$ is $\C_+$.
Ball J. M., Claus Gerhardt, Ecker K., Gerhardt C.   +3 more
core   +3 more sources

Lichnerowicz-type equations on complete manifolds

Advances in Nonlinear Analysis, 2016
Under appropriate spectral assumptions, we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds.
Albanese Guglielmo, Rigoli Marco
doaj   +1 more source

Conformally covariant parameterizations for relativistic initial data

, 2016
We revisit the Lichnerowicz-York method, and an alternative method of York, in order to obtain some conformally covariant systems.
Delay, Erwann
core   +2 more sources

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

Gradient estimates for a nonlinear diffusion equation on complete manifolds

, 2010
Let $(M,g)$ be a complete non-compact Riemannian manifold with the $m$-dimensional Bakry-\'{E}mery Ricci curvature bounded below by a non-positive constant.
Wu, Jia-Yong
core   +1 more source