@article{AIHPC_2007__24_4_563_0,
author = {Schneider, Matthias},
title = {Prescribing scalar curvature on ${S}^{3}$},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {563--587},
year = {2007},
publisher = {Elsevier},
volume = {24},
number = {4},
doi = {10.1016/j.anihpc.2006.03.004},
mrnumber = {2334993},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpc.2006.03.004/}
}
TY - JOUR
AU - Schneider, Matthias
TI - Prescribing scalar curvature on ${S}^{3}$
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
SP - 563
EP - 587
VL - 24
IS - 4
PB - Elsevier
UR - https://www.numdam.org/articles/10.1016/j.anihpc.2006.03.004/
DO - 10.1016/j.anihpc.2006.03.004
LA - en
ID - AIHPC_2007__24_4_563_0
ER -
%0 Journal Article
%A Schneider, Matthias
%T Prescribing scalar curvature on ${S}^{3}$
%J Annales de l'I.H.P. Analyse non linéaire
%D 2007
%P 563-587
%V 24
%N 4
%I Elsevier
%U https://www.numdam.org/articles/10.1016/j.anihpc.2006.03.004/
%R 10.1016/j.anihpc.2006.03.004
%G en
%F AIHPC_2007__24_4_563_0
Schneider, Matthias. Prescribing scalar curvature on ${S}^{3}$. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 4, pp. 563-587. doi: 10.1016/j.anihpc.2006.03.004
[1] , , Homoclinics: Poincaré-Melnikov type results via a variational approach, Ann. Inst. H. Poincaré Anal. Non Linéaire 15 (2) (1998) 233-252. | Zbl | Numdam
[2] , , , Perturbation of , the scalar curvature problem in , and related topics, J. Funct. Anal. 165 (1) (1999) 117-149. | Zbl | MR
[3] , Some Nonlinear Problems in Riemannian Geometry, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 1998. | Zbl | MR
[4] , , Une hypothèse topologique pour le problème de la courbure scalaire prescrite, J. Math. Pures Appl. (9) 76 (10) (1997) 843-850. | Zbl | MR
[5] , , The scalar-curvature problem on the standard three-dimensional sphere, J. Funct. Anal. 95 (1) (1991) 106-172. | Zbl | MR
[6] , Non-existence and symmetry of solutions to the scalar curvature equation, Comm. Partial Differential Equations 21 (1-2) (1996) 229-234. | Zbl
[7] , , Scalar curvature functions in a conformal class of metrics and conformal transformations, Trans. Amer. Math. Soc. 301 (2) (1987) 723-736. | Zbl | MR
[8] , , Remarks on the Schrödinger operator with singular complex potentials, J. Math. Pures Appl. (9) 58 (2) (1979) 137-151. | Zbl | MR
[9] , , , Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth, Comm. Pure Appl. Math. 42 (3) (1989) 271-297. | Zbl | MR
[10] , , , The scalar curvature equation on 2- and 3-spheres, Calc. Var. Partial Differential Equations 1 (2) (1993) 205-229. | Zbl | MR
[11] , , Prescribing scalar curvature on . I. A priori estimates, J. Differential Geom. 57 (1) (2001) 67-171. | Zbl | MR
[12] , , Prescribing scalar curvature on , Pacific J. Math. 199 (1) (2001) 61-78. | Zbl | MR
[13] , , , Symmetry of positive solutions of nonlinear elliptic equations in , in: Mathematical Analysis and Applications, Part A, Adv. in Math. Suppl. Stud., vol. 7, Academic Press, New York, 1981, pp. 369-402. | Zbl | MR
[14] , , Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures, Ann. of Math. (2) 101 (1975) 317-331. | Zbl | MR
[15] , Prescribing scalar curvature on and related problems. I, J. Differential Equations 120 (2) (1995) 319-410. | Zbl | MR
[16] , Prescribing scalar curvature on and related problems. II. Existence and compactness, Comm. Pure Appl. Math. 49 (6) (1996) 541-597. | Zbl | MR
[17] M. Schneider, A priori estimates for the prescribed scalar curvature equation on , preprint, 2004.
[18] , , Prescribed scalar curvature on the n-sphere, Calc. Var. Partial Differential Equations 4 (1) (1996) 1-25. | Zbl | MR
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