Results 31 to 40 of about 7,727 (201)
Hebey-Vaugon conjecture II [PDF]
, 2011 In this paper we consider the remaining cases of Hebey-Vaugon ...
Madani, Farid
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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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On the negative case of the Singular Yamabe Problem [PDF]
Journal of Geometric Analysis, 1999 The negative case of the Singular Yamabe Problem concerns the existence and behavior of complete metrics with constant negative scalar curvature on the complement of a closed set in a compact Riemannian manifold which are conformally equivalent to a smooth metric on this compact manifold.
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Compactness of solutions to the Yamabe problem. II [PDF]
Calculus of Variations and Partial Differential Equations, 2005 We study compactness of solutions to the Yamabe problem on Riemannian manifolds which are not locally conformally flat.
Department of Mathematics, Rutgers University Frelinghuysen Road, Piscataway, NJ 08854, USA ( host institution ) +2 more
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The Singular CR Yamabe Problem and Hausdorff Dimension
, 2023 We consider a compact pseudo-hermitian manifold (M,θ, J), that is a manifold equipped with a contact form θand CR structure J. We consider a conformal deformation of the contact form to obtain a complete, singular contact form and a corresponding Yamabe problem. We estimate then the Hausdorff dimension of the singular set. The conformal geometry analog
Chanillo, Sagun, Yang, Paul C.
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On the Yamabe problem on contact Riemannian manifolds [PDF]
Annals of Global Analysis and Geometry, 2019 44 ...
Wang, Wei, Wu, Feifan
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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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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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Singular Yamabe and Obata Problems [PDF]
, 2020 17 pages ...
Gover, A. Rod, Waldron, Andrew
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