Results 61 to 70 of about 30,041 (97)

On the existence of solutions of prescribing scalar curvature problem

open access: yesOn the existence of solutions of prescribing scalar curvature problem
openaire  

On the prescribed scalar curvature problem with very degenerate prescribed functions

open access: closedCalculus of Variations and Partial Differential Equations, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng Luo, Shuangjie Peng, Yang Zhou
semanticscholar   +3 more sources

The prescribed scalar curvature problem for polyharmonic operator

open access: closedAnnali di Matematica Pura ed Applicata (1923 -), 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuxia Guo, Ting Liu
semanticscholar   +4 more sources

Symmetric solutions for the prescribed scalar curvature problem

open access: closedIndiana University Mathematics Journal, 2000
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
semanticscholar   +4 more sources

Local uniqueness and periodicity for the prescribed scalar curvature problem of fractional operator in $${\mathbb {R}}^{N}$$ R N

open access: closedCalculus of Variations and Partial Differential Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuxia Guo   +3 more
semanticscholar   +5 more sources

Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in $\mathbb R^{n,1}$

open access: closedCalculus of Variations and Partial Differential Equations, 2003
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
semanticscholar   +4 more sources

On an eigenvalue problem related to the prescribed scalar curvature equations

open access: closedDifferential and Integral Equations
Yuxia Guo, Yichen Hu, Shaolong Peng
openalex   +2 more sources

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