# Topological tools for the prescribed scalar curvature problem on S n

Dina Abuzaid; Randa Ben Mahmoud; Hichem Chtioui; Afef Rigane

Open Mathematics (2014)

- Volume: 12, Issue: 12, page 1829-1839
- ISSN: 2391-5455

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topDina Abuzaid, et al. "Topological tools for the prescribed scalar curvature problem on S n." Open Mathematics 12.12 (2014): 1829-1839. <http://eudml.org/doc/269413>.

@article{DinaAbuzaid2014,

abstract = {In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, 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 well known results due to Y. Li [16].},

author = {Dina Abuzaid, Randa Ben Mahmoud, Hichem Chtioui, Afef Rigane},

journal = {Open Mathematics},

keywords = {Scalar curvature; Variational method; β-flatness condition; Loss of compactness; Critical points at infinity; Topological method; scalar curvature; variational method; -flatness condition; loss of compactness; critical points at infinity; topological method},

language = {eng},

number = {12},

pages = {1829-1839},

title = {Topological tools for the prescribed scalar curvature problem on S n},

url = {http://eudml.org/doc/269413},

volume = {12},

year = {2014},

}

TY - JOUR

AU - Dina Abuzaid

AU - Randa Ben Mahmoud

AU - Hichem Chtioui

AU - Afef Rigane

TI - Topological tools for the prescribed scalar curvature problem on S n

JO - Open Mathematics

PY - 2014

VL - 12

IS - 12

SP - 1829

EP - 1839

AB - In this paper, we consider the problem of the existence of conformal metrics with prescribed scalar curvature on the standard sphere S n, 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 well known results due to Y. Li [16].

LA - eng

KW - Scalar curvature; Variational method; β-flatness condition; Loss of compactness; Critical points at infinity; Topological method; scalar curvature; variational method; -flatness condition; loss of compactness; critical points at infinity; topological method

UR - http://eudml.org/doc/269413

ER -

## References

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