Results 61 to 70 of about 279 (142)
About the Lorentzian Yamabe problem [PDF]
Geometriae Dedicata, 2014 We investigate the solutions to the Yamabe problem on globally hyperbolic spacetimes. On standard static spacetimes, we prove the existence of global solutions and show with the help of examples that uniqueness does not hold in general.
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The singular CR Yamabe problem and Hausdorff dimension
Communications in Contemporary MathematicsIn this paper, we consider CR analogs of Huber’s theorem for Riemann surfaces. We also investigate the developing map for CR structures that are spherical in the case of three-dimensional CR manifolds and give conditions when this developing map is injective.
Sagun Chanillo, Paul C. Yang
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The Yamabe problem with singularities
, 2008 Let $(M,g)$ be a compact Riemannian manifold of dimension $n\geq 3$. Under some assumptions, we prove that there exists a positive function $φ$ solution of the following Yamabe type equation Δφ+ hφ= \tilde h φ^{\frac{n+2}{n-2}} where $h\in L^p(M)$, $p>n/2$ and $\tilde h\in \mathbb R$.
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Behavior of mimimizing sequences for the Yamabe problem
Osaka Journal of Mathematics, 1995 This paper examines how a minimizing sequence of the Yamabe quotient behaves on a closed Riemannian manifold. The author uses the concentration function. An interesting local convergence theorem is proved, but this result has been known for many years by several mathematicians in Beijing and by Prof. Th. Aubin in Paris.
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Successful treatment of ejaculation pain with silodosin in patient with Zinner syndrome: a case report. [PDF]
Transl Androl Urol, 2023 Uetani M +9 more
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The Yamabe problem on Dirichlet spaces
, 2013 We continue our previous work studying critical exponent semilinear elliptic (and subelliptic) problems which generalize the classical Yamabe problem. In [3] the focus was on metric-measure spaces with an `almost smooth' structure, with stratified spaces furnishing the key examples.
Akutagawa, Kazuo +2 more
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Energy Quantization for Yamabe's problem in Conformal Dimension
Electronic Journal of Differential Equations, 2006 T. Riviere proved an energy quantization for Yang-Mills fields defined on n-dimensional Riemannian manifolds, when $n$ is larger than the critical dimension 4. More precisely, he proved that the defect measure of a weakly converging sequence of Yang-Mills fields is quantized, provided the $W^{2,1}$ norm of their curvature is uniformly bounded.
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Comparison of Hybrid Posterior Fixation and Conventional Open Posterior Fixation Combined with Multilevel Lateral Lumbar Interbody Fusion for Adult Spinal Deformity. [PDF]
J Clin Med, 2022 Endo H +6 more
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Recent progress on the Yamabe problem
, 2010 We give a survey of various compactness and non-compactness results for the Yamabe equation. We also discuss a conjecture of Hamilton concerning the asymptotic behavior of the parabolic Yamabe flow.
Brendle, S., Marques, F. C.
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The Influence of Dysphagia on Nutritional and Frailty Status among Community-Dwelling Older Adults. [PDF]
Nutrients, 2021 Nishida T, Yamabe K, Honda S.
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