Blow-up phenomena for the yamabe equation
Webaa 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 … 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 ...
Blow-up phenomena for the yamabe equation
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WebMay 23, 2009 · Download Citation Blow-up phenomena for the Yamabe equation Let (M,g) be a compact Riemannian manifold of dimension n \geq 3. The Compactness … WebDec 16, 2016 · We prove that for any k ∈ ℕ, there exists ε k > 0 such that for all ε ∈ (0, ε k) the problem (P 𝜖) has a symmetric solution u ε, which looks like the superposition of k positive bubbles centered at the point ξ 0 as ε → 0. In particular, ξ 0 is a towering blow-up point.
WebFebruary 2009 Blow-up phenomena for the Yamabe equation II Simon Brendle , Fernando C. Marques J. Differential Geom. 81(2): 225-250 (February 2009). WebOct 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. …
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 …
WebBLOW-UP PHENOMENA FOR THE YAMABE EQUATION II SIMON BRENDLE AND FERNANDO C. MARQUES 1. Introduction Let (M,g) be a compact Riemannian manifold of dimension n≥ 3. The Yamabe problem is concerned with finding metrics of constant scalar curva-ture in the conformal class of g. This problem leads to a semi-linear elliptic PDE for …
WebApr 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 … twg048a140b1 partsWebFor 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 … twg11019WebMar 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 . tahwalhi xtp 5 scooterWebBlow-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 … twg060a150b1WebAug 25, 2024 · If n > 6 and (M, g) is not locally conformally flat, this follows from results of T. Aubin [3]. The remaining cases were solved by R. Schoen using the positive mass … twg101WebBlow-up phenomena for the yamabe equation II. Simon Brendle, Fernando C. Marques. Research output: Contribution to journal › Article › peer-review. 92 Scopus citations. … twg114Web- \Blow-up examples for the Yamabe Problem", Calculus of Variations and Partial Di erential Equations, 36, (2009), pp. 377-397 - (with Brendle, S.) \Blow-up phenomena for the Yamabe equation II", Journal of Di erential Geometry, 81, (2009), pp. 225-250 ... Journal of Di erential Geometry, 81, (2009), pp. 143-196 - \Isolated singularities of ... twg036a140b1 filter