Results 21 to 30 of about 7,459 (148)
Equivariant Yamabe problem with boundary [PDF]
Calculus of Variations and Partial Differential Equations, 2022 AbstractAs a generalization of the Yamabe problem, Hebey and Vaugon considered the equivariant Yamabe problem: for a subgroupGof the isometry group, find aG-invariant metric whose scalar curvature is constant in a given conformal class. In this paper, we study the equivariant Yamabe problem with boundary.
Ho, Pak Tung, Shin, Jinwoo
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Surveys in Differential Geometry, 2012 1.1. The k-Yamabe problem. The k-Yamabe problem is a higher order extension of the celebrated Yamabe problem for scalar curvature. It was initially proposed by Viaclovsky [72] and also arose in the study of Q-curvatures in [11]. Viaclovsky found that in a conformal metric, the resultant k-curvature equation can be expressed as an equation similar to ...
Sheng, Weimin +2 more
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$$\sigma _{2}$$ Yamabe problem on conic 4-spheres [PDF]
Calculus of Variations and Partial Differential Equations, 2019 Comment: 20 pages, we makes some changes in the paper posted ...
Fang, Hao, Wei, Wei
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Singular Yamabe and Obata Problems [PDF]
, 2020 17 pages ...
Gover, A. Rod, Waldron, Andrew
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A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
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Kodaira dimension and the Yamabe problem, II
Communications in Analysis and Geometry, 2023 25 pages ...
Albanese, Michael, LeBrun, Claude
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Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation
Bruno Pini Mathematical Analysis Seminar, 2015 We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere,
Vittorio Martino
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Generic Properties of Critical Points of the Weyl Tensor
Advanced Nonlinear Studies, 2017 Given (M,g)${(M,g)}$, a smooth compact Riemannian n-manifold, we prove that for a generic Riemannian metric g the critical points of the function 𝒲g(ξ):=|Weylg(ξ)|g2${\mathcal{W}_{g}(\xi):=\lvert\mathrm{Weyl}_{g}(\xi)\rvert^{2}_{g}}$ with 𝒲g(ξ)≠0 ...
Micheletti Anna Maria, Pistoia Angela
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Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
, 2015 In this paper we extend Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds for dimension $n\ne 2$. As one application, we solve a generalized Yamabe problem on locally conforamlly flat manifolds via a new designed energy functional and
Han, Yazhou, Zhu, Meijun
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Singular solutions of fractional order conformal Laplacians
, 2011 We investigate the singular sets of solutions of conformally covariant elliptic operators of fractional order with the goal of developing generalizations of some well-known properties of solutions of the singular Yamabe ...
Gonzalez, Maria del Mar +2 more
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