Blow-up phenomena for the yamabe equation
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Blow-up phenomena for the yamabe equation
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WebBLOW-UP PHENOMENA FOR THE YAMABE EQUATION 5 Proposition 2 follows from an analysis of the eigenvalues of the Laplace operator on Sn. The details can be found in [15]. Corollary 3. Consider a Riemannian metric on Rn of the form g(x) = exp(h(x)), where h(x) is a trace-free symmetric two-tensor on Rn satisfying WebMay 23, 2009 · Download Citation F.: Blow-up phenomena for the Yamabe equation II Let n be an integer such that 25 \leq n \leq 51. We construct a smooth metric g on S^n …
WebFor n ≥ 6, using the Lyapunov–Schmidt reduction method, we describe how to construct (scalar curvature) functions on Sn, so that each of them enables the conformal scalar curvature equation to have an infinite number of positive solutions, which form a blow-up sequence. The prescribed scalar curvature function is shown to have Cn - 1,β … WebMar 31, 2024 · S. Brendle and F. Marques, Blow-up phenomena for the Yamabe equation. Ⅱ, J. Differential Geom., 81 (2009), 225-250. [7] S. Chen, Conformal deformation to scalar flat metrics with constant mean curvature on the boundary in higher dimensions, preprint, arXiv: 0912.1302 .
WebNov 18, 2010 · Such blow-up phenomena in large dimensions also appear in the Q-curvature equation (see J. Wei and C. Zhao [23] ) and in the fractional Yamabe problem (see S. Kim, M. Musso and J. Wei [14 ... WebBlow-up phenomena for the Yamabe equation II Home > Journals > J. Differential Geom. > Volume 81 > Issue 2 > Article Translator Disclaimer February 2009 Blow-up phenomena for the Yamabe equation II Simon Brendle , Fernando C. Marques J. Differential Geom. 81 (2): 225-250 (February 2009). DOI: 10.4310/jdg/1231856261 ABOUT FIRST PAGE …
WebSimon Brendle (born June 1981) is a German mathematician working in differential geometry and nonlinear partial differential equations.He received his Dr. rer. nat. from Tübingen University under the supervision of Gerhard Huisken (2001). He was a professor at Stanford University (2005–2016), and is currently a professor at Columbia …
WebJan 1, 2013 · T. Aubin, Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire. J. Math. Pures Appl. (9) 55 (1976), 269–296. Google … chili\u0027s sister brandyWebOct 15, 2024 · In the respective critical case of blowup phenomena for wave equations, we need precise information about the behavior of solutions to the linear wave equation. … grace by cece and bebe winansWebaa r X i v : . [ m a t h . DG ] M a y BLOW-UP PHENOMENA FOR THE YAMABE EQUATION. SIMON BRENDLE. Abstract. Let (M, g ) be compact Riemannian manifold … chili\u0027s silsbee texaschili\u0027s silsbee tx menuWebApr 19, 2024 · Semantic Scholar extracted view of "Blow-up problems for nonlinear parabolic equations on locally finite graphs" by Yong Lin et al. ... G = (V,E) be a finite connected weighted graph, and assume 1 ⩽ α ⩽ p ⩽ q. In this paper, we consider the p-th Yamabe type equation ―∆pu+huq―1 = λfuα ... we consider the blow-up phenomenon … grace by darius brooksWeb1.1. 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 … chili\\u0027s sm northWebFebruary 2009 Blow-up phenomena for the Yamabe equation II Simon Brendle , Fernando C. Marques J. Differential Geom. 81(2): 225-250 (February 2009). grace by crucifix calabia