Bifurcation in prescribed mean curvature problem

Acta Mathematica Scientia

Volumn 22, Issue 4, 2002, Pages 526-532

  Ma, Li ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Bifurcation; Field equation; Mean curvature; Scalar curvature

Indexed keywords

EID: 2642523134     PISSN: 02529602     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0252-9602(17)30327-2     Document Type: Article

References (18)

1. Nirenberg L. Topics on nonlinear functional analysis. Lecture notes in CIMS at NYU, 1974
2. Simon L. Asymptotics for a class of nonlinear evolution equations, with applications to geometrical problems. Ann Math, 1983,118: 525-572
3. n. Duke Math J, 1991, 64: 27-69
4. Bahri A, Lions P L. To appear in Calc Variations, 1997
5. Berger M S. The Mathematical Structure of Nonlinear Sciences, an introduction. Kluwer Academic Publishers, 1990
6. Bahri A, Chen Y, Ma L. A Multiplicity Result for the Scalar Curvature Problems in Dimensions Three and Four. Preprint, December, 1995
7. Beckner W. Sharp Sobolev Inequalities on the sphere and Moser-Trudinger inequality. Ann Math, 1993, 138: 213-242
8. Golubitsky M, Schaeffer D G. Singularties and Groups in Bifurcation Theory, Vol I. New York: Springer-Verlag, 1985
9. n. Calc Var and PDE, 1996
10. Escobar J. Sharp Constant in a Sobolev Trace Inequality. Indiana Univ J Math, 1988, 37: 687-698
11. Ma L. Conformal metrics with prescribed mean curvature on the boundary of the unit ball. Preprint, Rutgers University, 1996
12. Ma L. Bifurcation in Nirenberg's problem. C R Acad Sci Paris, t326, serie I, 1998. 583-588
13. Ma L. A small perturbation in semi-linear elliptic equations. Preprint, Tsinghua University, 1997
14. Bahri A. Critical Points at infinity in Some Variational Problems. Pitmann Research Note in Math Vol 182. London: Longman-Pitman, 1989
15. Bahri A. Scalar Curvature Problem of Higher Dimensions. Duke Math J, 1996, 81: 323-465
16. Escobar J. Uniqueness Theorems on Conformal Deformation of Metrics, Sobolev Inequalities, and an Eigenvalues Estimates. Comm Pure and Appl Math, 1990, 43: 857-883
17. Bott R. Non-degenerate critical manifolds. Ann of Math II, 1954, 60: 248-261
18. Conway J B. A course in Functional Analysis. GTM 96. Second edition. New York: Springer-verlag, 1990