On the Chen-Lin conjecture for the prescribed scalar curvature problem [PDF]
Hichem Chtioui
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Existence and Multiplicity results for the prescribed Webster Scalar Curvature Problem on three $C R $ manifolds [PDF]
Hichem Chtioui +2 more
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On the existence of solutions of prescribing scalar curvature problem
openaire
On the prescribed scalar curvature problem with very degenerate prescribed functions
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Peng Luo, Shuangjie Peng, Yang Zhou
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The prescribed scalar curvature problem for polyharmonic operator
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Yuxia Guo, Ting Liu
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Symmetric solutions for the prescribed scalar curvature problem
The paper deals with the existence of symmetric solutions for the prescribed scalar curvature equation in \({\mathbb R}^N\) \[ -\Delta u=K(x) u^{(N+2)/(N-2)},\quad u>0\quad \text{in} {\mathbb R}^N,\;N\geq 3, \] \[ u(x)=O(|x|^{2-N})\quad \text{as} |x|\to\infty, \] and for the corresponding equation on the unit sphere \(S^N.\) Moreover, it is shown that,
Zhiqiang Wang, Florin Catrina
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Yuxia Guo +3 more
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Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in $\mathbb R^{n,1}$
In this paper under review, the author proves a Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in Minkowski space. Let \({\mathbb R}^{n,1}\) be the Minkowski space \(\displaystyle{{\mathbb R}^{n,1} = \bigl({\mathbb R}^{n+1}, \sum_{i=1}^n dx_i^2 - dx_{n+1}^2 \bigr)}\) with the canonical coordinates \((x_1, \dots, x_{n+1})
Pierre Bayard
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Morse index and non-degeneracy of double-tower solutions for prescribed scalar curvature problem
Yuxia Guo, Yichen Hu, Shaolong Peng
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On an eigenvalue problem related to the prescribed scalar curvature equations
Yuxia Guo, Yichen Hu, Shaolong Peng
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