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

[31] SOBOLEV-TYPE INEQUALITIES AND COMPLETE RIEMANNIAN MANIFOLDS WITH NONNEGATIVE RICCI CURVATURE
Abolarinwa, Abimbola
Adefolarin, Adekunle
Animasahun, Isaac A.
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 11 (01): : 11 - 21
[32] Prescribed scalar curvature problem on complete manifolds
Holcman, D
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2001, 80 (02): : 223 - 244
[33] CONFORMAL SCALAR CURVATURE EQUATIONS ON COMPLETE MANIFOLDS
LEUNG, MC
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1995, 20 (3-4) : 367 - 417
[34] Prescribed scalar curvature problem on complete manifolds
Holcman, D
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 328 (04): : 321 - 326
[35] DEFORMATION TO POSITIVE SCALAR CURVATURE ON COMPLETE MANIFOLDS
KAZDAN, JL
[J]. MATHEMATISCHE ANNALEN, 1982, 261 (02) : 227 - 234
[36] Isospectral deformations of closed Riemannian manifolds with different scalar curvature
Gordon, CS
Gornet, R
Schueth, D
Webb, DL
Wilson, EN
[J]. ANNALES DE L INSTITUT FOURIER, 1998, 48 (02) : 593 - +
[37] ON COMPLETE RIEMANNIAN-MANIFOLDS WITH POSITIVE RICCI CURVATURE
NABONNAND, P
[J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1980, 291 (10): : 591 - 593
[38] Complete curvature homogeneous pseudo-Riemannian manifolds
Gilkey, P
Nikcevic, S
[J]. CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (15) : 3755 - 3770
[39] SCALAR CURVATURE AND CONFORMAL DEFORMATIONS OF NONCOMPACT RIEMANNIAN-MANIFOLDS
RATTO, A
RIGOLI, M
VERON, L
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1994, 318 (07): : 665 - 670
[40] The role of the scalar curvature in a nonlinear elliptic problem on Riemannian manifolds
Anna Maria Micheletti
Angela Pistoia
[J]. Calculus of Variations and Partial Differential Equations, 2009, 34 : 233 - 265

← 1 2 3 4 5 →