Results 11 to 20 of about 30,041 (97)

Constructing solutions for the prescribed scalar curvature problem via local Pohozaev identities

Journal of Differential Equations, 2019
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Shuangjie Peng, Chunhua Wang, Suting Wei
semanticscholar   +4 more sources

On the prescribed scalar curvature problem on S: Part 1, asymptotic estimates and existence results

Differential Geometry and its Applications, 2016
Abstract There have been many works on the problem of finding a conformal metric on the standard sphere S n , n ≥ 3 , when the prescribed scalar curvature function is flat near its critical points with order of flatness β . All the existence results up to this research concern the case 1 β n .
Khadijah Sharaf
semanticscholar   +3 more sources

Existence and Multiplicity Results for the Prescribed Webster Scalar Curvature Problem on Three CR Manifolds [PDF]

Journal of Geometric Analysis, 2011
This paper is devoted to the existence of contact forms of prescribed Webster scalar curvature on a 3-dimensional CR compact manifold locally conformally CR equivalent to the unit sphere \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Hichem Chtioui, Mohameden Ould Ahmedou, Ridha Yacoub   +2 more
semanticscholar   +4 more sources

On the prescribed scalar curvature problem on S n : The degree zero case

Comptes Rendus. Mathématique, 2012
In this Note, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere Sn, n⩾3. We give new existence and multiplicity results based on a new Euler–Hopf formula type. Our argument also has the advantage of extending the well known results due to Y. Li (1995) [10].
Randa Ben Mahmoud, Hichem Chtioui, Afef Rigane   +2 more
semanticscholar   +4 more sources

Infinitely many solutions for the prescribed scalar curvature problem onSN

Journal of Functional Analysis, 2009
AbstractWe consider the following prescribed scalar curvature problem on SN(∗){−ΔSNu+N(N−2)2u=K˜uN+2N−2onSN,u>0 where K˜ is positive and rotationally symmetric. We show that if K˜ has a local maximum point between the poles then Eq. (∗) has infinitely many non-radial positive solutions, whose energy can be made arbitrarily large.
Juncheng Wei, Shusen Yan
semanticscholar   +4 more sources

Topological methods for the prescribed Webster Scalar Curvature problem on CR manifolds

Differential Geometry and its Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hichem Chtioui, Mohameden Ould Ahmedou, Ridha Yacoub   +2 more
semanticscholar   +3 more sources

Correction: A Prescribed Scalar and Boundary Mean Curvature Problem and the Yamabe Classification on Asymptotically Euclidean Manifolds with Inner Boundary [PDF]

The Journal of Geometric Analysis
Vladmir Sicca, Gantumur Tsogtgerel
semanticscholar   +3 more sources

The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space

Calculus of Variations and Partial Differential Equations, 2003
In this nice paper the author extend recent work by \textit{P. Bayard} [Calc. Var. Partial Differ. Equ. 18, No. 1, 1--30 (2003; Zbl 1043.53027)] on the Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space. Among other results, the authors prove a maximum principle for the curvature of spacelike admissible solutions of ...
John Urbas
semanticscholar   +4 more sources

A prescribed scalar and boundary mean curvature problem on compact\n manifolds with boundary [PDF]

, 2021
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Vladmir Sicca, Gantumur Tsogtgerel
  +5 more sources

Bubbling of Minimizing Sequences for Prescribed Scalar Curvature Problem

Advanced Studies in Pure Mathematics, 2018
Shōichirō Takakuwa
semanticscholar   +4 more sources