Results 61 to 70 of about 736 (175)
A compactness theorem for the Yamabe problem
Journal of Differential Geometry, 2009 In this paper, we prove compactness for the full set of solutions to the Yamabe Problem if $n\leq 24$. After proving sharp pointwise estimates at a blowup point, we prove the Weyl Vanishing The- orem in those dimensions, and reduce the compactness question to showing positivity of a quadratic form.
Khuri, M.A., Marques, F.C., Schoen, R.M.
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Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem
Electronic Journal of Differential Equations, 2000 We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
doaj
A factorization of the GJMS operators of special Einstein products and applications
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract We show that the GJMS operators of a special Einstein product factor as a composition of second‐ and fourth‐order differential operators. In particular, our formula applies to the Riemannian product Hℓ×Sd−ℓ$H^{\ell } \times S^{d-\ell }$. We also show that there is an integer D=D(k,ℓ)$D = D(k,\ell)$ such that if d⩾D$d \geqslant D$, then for any
Jeffrey S. Case, Andrea Malchiodi
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Fractional conformal Laplacians and fractional Yamabe problems [PDF]
, 2013 Based on the relations between scattering operators of asymptotically hyperbolic metrics and Dirichlet-to- Neumann operators of uniformly degenerate elliptic boundary value problems observed by Chang and González, we formulate fractional Yamabe problems ...
González Nogueras, María del Mar +1 more
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Existence result for the CR-Yamabe equation
Bruno Pini Mathematical Analysis Seminar, 2013 In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
doaj
SVT quest: The adventure diagnosing narrow QRS tachycardia
Journal of Arrhythmia, Volume 40, Issue 4, Page 767-785, August 2024.The SVT mechanism includes atrial tachycardia (AT), orthodromic reciprocating tachycardia (ORT) via an atrioventricular accessory pathway (AP), nodoventricular pathway (NVP), nodofascicular pathway (NFP) or His‐ventricular pathway, and atrioventricular nodal reentrant tachycardia (AVNRT).
Koichi Nagashima +3 more
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Bifurcation techniques in the Yamabe problem in manifolds with boundary
, 2016 Apresentaremos alguns resultados de rigidez e de bifurcação para soluções do problema de Yamabe em variedades produto com bordo.We will discuss some rigidity and bifurcation results for solutions of the Yamabe problem in product manifolds with ...
Moreira, Ana Claudia da Silva
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Singular CR structures of constant Webster curvature and applications
Mathematische Nachrichten, Volume 297, Issue 3, Page 943-961, March 2024.Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi +2 more
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Delaunay-type singular solutions for the fractional Yamabe problem [PDF]
, 2017 We construct Delaunay-type solutions for the fractional Yamabe problem with an isolated singularity(Formula Presented.)We follow a variational approach, in which the key is the computation of the fractional Laplacian in polar ...
Gonzalez M. M. +3 more
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Volume comparison and the sigma_k-Yamabe problem
, 2002 In this paper we study the problem of finding a conformal metric with the property that the k-th elementary symmetric polynomial of the eigenvalues of its Weyl-Schouten tensor is constant. A new conformal invariant involving maximal volumes is defined, and this invariant is then used in several cases to prove existence of a solution, and compactness of
Gursky, Matthew J., Viaclovsky, Jeff A.
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