GENERALIZED SCALAR CURVATURE TYPE EQUATION ON COMPLETE RIEMANNIAN MANIFOLDS

被引：0

作者：

Benalili, Mohammed ^{[1
]}

Maliki, Youssef ^{[1
]}

机构：

[1] Univ Abou Bekr Belkaid Tlemcen, Fac Sci, Dept Math, Tilimsen, Algeria

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2004年

关键词：

Complete manifolds; p-Laplacian; critical Sobolev exponent;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we investigate positive solutions for a quasilinear elliptic equation on complete manifold M. This equation extends to the p-Laplacian the equation of the prescribed scalar curvature. A minimizing sequence is constructed which converges to a non trivial solution belonging to C-1,C-alpha(K) for any compact set K subset of M and some alpha is an element of (0,1).

引用

页数：18

共 50 条

[21] Scalar curvature and conformal deformations of noncompact Riemannian manifolds
Andrea Ratto
Marco Rigoli
Laurent Veron
[J]. Mathematische Zeitschrift, 1997, 225 : 395 - 426
[22] Scalar curvature and conformal deformations of noncompact Riemannian manifolds
Ratto, A
Rigoli, M
Veron, L
[J]. MATHEMATISCHE ZEITSCHRIFT, 1997, 225 (03) : 395 - 426
[23] A note on rigidity of Riemannian manifolds with positive scalar curvature
Guangyue Huang
Qianyu Zeng
[J]. Archiv der Mathematik, 2020, 115 : 457 - 465
[24] A note on rigidity of Riemannian manifolds with positive scalar curvature
Huang, Guangyue
Zeng, Qianyu
[J]. ARCHIV DER MATHEMATIK, 2020, 115 (04) : 457 - 465
[25] Scalar Curvature and Betti Numbers of Compact Riemannian Manifolds
Hezi Lin
[J]. Bulletin of the Brazilian Mathematical Society, New Series, 2020, 51 : 761 - 771
[26] Scalar Curvature and Betti Numbers of Compact Riemannian Manifolds
Lin, Hezi
[J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2020, 51 (03): : 761 - 771
[27] Conformal deformations of prescribing scalar curvature on Riemannian manifolds with negative curvature
Hu Zejun
[J]. Acta Mathematica Sinica, 1998, 14 (3) : 361 - 370
[28] Conformal deformations for prescribing scalar curvature on Riemannian manifolds with negative curvature
[J]. Acta Math Sinica, 3 (361-370):
[29] Conformal deformations for prescribing scalar curvature on Riemannian manifolds with negative curvature
Hu, ZJ
[J]. ACTA MATHEMATICA SINICA-NEW SERIES, 1998, 14 (03): : 361 - 370
[30] Conformal Deformations for Prescribing Scalar Curvature on Riemannian Manifolds with Negative Curvature
Hu Zejun Postdoctoral Station of Mathematics
[J]. Acta Mathematica Sinica,English Series, 1998, (03) : 361 - 370

← 1 2 3 4 5 →