Results 11 to 20 of about 97 (96)
Singular limiting solutions for elliptic problem involving exponentially dominated nonlinearity and convection term [PDF]
Boundary Value Problems, 2011 Given Ω bounded open regular set of ℝ2 and x1, x2, ..., xm ∈ Ω, we give a sufficient condition for the problem to have a positive weak solution in Ω with u = 0 on ∂Ω, which is singular at each xi as the parameters &#
Abid Imed +3 more
doaj +1 more source
Functional inequalities for the heat flow on time‐dependent metric measure spaces
Journal of the London Mathematical Society, Volume 104, Issue 2, Page 926-955, September 2021., 2021 Abstract We prove that synthetic lower Ricci bounds for metric measure spaces — both in the sense of Bakry–Émery and in the sense of Lott–Sturm–Villani — can be characterized by various functional inequalities including local Poincaré inequalities, local logarithmic Sobolev inequalities, dimension independent Harnack inequality, and logarithmic Harnack
Eva Kopfer, Karl‐Theodor Sturm
wiley +1 more source
Global solutions for a new geometric flow with rotational invariance [PDF]
, 2017 In this paper we introduce a new geometric flow with rotational invariance and prove the existence of a global solution.
Qiang Ru +3 more
core +1 more source
Asymptotic curvature bounds for conformally flat metrics on the plane [PDF]
, 2010 The decay rate of the Gauss curvature of conformally flat planer surfaces of strictly negative curvature is studied. It is show that generically there is an asymptotic sequence that decays faster than quadratically in the distance from the origin. In the
Miodrag Mateljevic +2 more
core +1 more source
A Strong Maximum Principle For Weak Solutions Of Quasi-Linear Elliptic Equations With Applications To Lorentzian And Riemannian Geometry [PDF]
, 1996 . The strong maximum principle is proved to hold for weak (in the sense of support functions) sub- and super-solutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 spacelike hypersurfaces in a ...
Lars Andersson +5 more
core +1 more source
Limits of Riemannian 4‐manifolds and the symplectic geometry of their twistor spaces
Transactions of the London Mathematical Society, Volume 4, Issue 1, Page 100-109, December 2017., 2017 Abstract The twistor space of a Riemannian 4‐manifold carries two almost complex structures, J+ and J−, and a natural closed 2‐form ω. This article studies limits of manifolds for which ω tames either J+ or J−. This amounts to a curvature inequality involving self‐dual Weyl curvature and Ricci curvature, and which is satisfied, for example, by all anti‐
Joel Fine
wiley +1 more source
Smooth long‐time existence of Harmonic Ricci Flow on surfaces
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 277-304, February 2017., 2017 Abstract We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long‐time existence for the Harmonic Ricci Flow with large coupling constant.
Reto Buzano, Melanie Rupflin
wiley +1 more source
On the geometry of Riemannian manifolds with a Lie structure at infinity
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 4, Page 161-193, 2004., 2004 We study a generalization of the geodesic spray and give conditions for noncomapct manifolds with a Lie structure at infinity to have positive injectivity radius. We also prove that the geometric operators are generated by the given Lie algebra of vector fields.
Bernd Ammann +2 more
wiley +1 more source
Skew‐symmetric vector fields on a CR‐submanifold of a para‐Kählerian manifold
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 10, Page 535-540, 2004., 2004 We deal with a CR‐submanifold M of a para‐Kählerian manifold M˜, which carries a J‐skew‐symmetric vector field X. It is shown that X defines a global Hamiltonian of the symplectic form Ω on M⊤ and JX is a relative infinitesimal automorphism of Ω. Other geometric properties are given.
Adela Mihai, Radu Rosca
wiley +1 more source
On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 1, Page 33-42, 2001., 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace‐Beltrami operator on M. Equivalently, this condition ensures that a Riemannian submersion maps Brownian motion to a diffusion.
Huiling Le
wiley +1 more source