Results 1 to 10 of about 528 (49)
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
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Monge-Ampère equations on compact Hessian manifolds [PDF]
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2021 We consider degenerate Monge-Ampère equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and global comparison principles for twisted Monge-Ampère operators.
V. Guedj, T. Tô
semanticscholar +1 more source
Almost-complex invariants of families of six-dimensional solvmanifolds
Complex Manifolds, 2022 We compute almost-complex invariants h∂¯p,oh_{\bar \partial }^{p,o}, hDolp,oh_{Dol}^{p,o} and almost-Hermitian invariants hδ¯p,oh_{\bar \delta }^{p,o} on families of almost-Kähler and almost-Hermitian 6-dimensional solvmanifolds.
Tardini Nicoletta, Tomassini Adriano
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Boundary value problems for Einstein metrics, I [PDF]
, 2006 On any given compact manifold M nC1 with boundary @M , it is proved that the moduli space E of Einstein metrics on M , if non-empty, is a smooth, infinite dimensional Banach manifold, at least when 1.M;@M/D 0.
Michael T. Anderson
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Harnack inequality for parabolic Lichnerowicz equations on complete noncompact Riemannian manifolds
Boundary Value Problems, 2013 In this paper, we study the gradient estimates for positive solutions to the following parabolic Lichnerowicz equations ∂u∂t=△u+hu(x,t)+Aup(x,t)+Bu−q(x,t) on complete noncompact Riemannian manifolds, where h, p, q, A, B are real constants and p>1, q>0 ...
Liang-cai Zhao
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Elliptic operators on manifolds with singularities and K-homology [PDF]
, 2004 Elliptic operators on smooth compact manifolds are classified by K-homology. We prove that a similar classification is valid also for manifolds with simplest singularities: isolated conical points and edges.
A. Savin
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Existence Results for the Conformal Dirac–Einstein System
Advanced Nonlinear Studies, 2021 We consider the coupled system given by the first variation of the conformal Dirac–Einstein functional. We will show existence of solutions by means of perturbation methods.
Guidi Chiara +2 more
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Total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear Studies, 2023 We obtain a comparison formula for integrals of mean curvatures of Riemannian hypersurfaces via Reilly’s identities. As applications, we derive several geometric inequalities for a convex hypersurface Γ\Gamma in a Cartan-Hadamard manifold MM.
Ghomi Mohammad, Spruck Joel
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Quantum cosmological Friedman models with a Yang-Mills field and positive energy levels [PDF]
, 2010 We prove the existence of a spectral resolution of the Wheeler-DeWitt equation when the matter field is provided by a Yang-Mills field, with or without mass term, if the spatial geometry of the underlying spacetime is homothetic to $\R[3]$.
Claus Gerhardt +3 more
core +3 more sources
Grafting Seiberg-Witten monopoles. [PDF]
, 2001 We demonstrate that the operation of taking disjoint unions of J -holomorphic curves (and thus obtaining new J -holomorphic curves) has a Seiberg-Witten counterpart.
Stanislav Jabuka
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