Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry

Electronic Journal of Differential Equations

Volumn 2003, Issue , 2003, Pages 1-13

  Mckenna, P J ^a   Reichel, Wolfgang ^b  

^a UNIVERSITY OF CONNECTICUT   (United States)

^b UNIVERSITY OF BASEL   (Switzerland)

Author keywords

Conformal invariance; Singular biharmonic equation

Indexed keywords

EID: 2442563160     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Th. Aubin, Some nonlinear problems in Riemannian Geometry. Springer Monographs in Mathematics, Springer Verlag, 1998.
2. Sun-Yung A. Chang, On a fourth-order partial di erential equation in conformal geometry. M. Christ (ed.) et al., Harmonic analysis and partial differential equations. Essays in honor of A.P. Calderón's 75th birthday. The University of Chicago Press, Chicago Lectures in Mathematics, 127-150 (1999).
3. Sun-Yung A. Chang and Paul C. Yang, On fourth order curvature invariant. Th. Branson (ed.), Spectral problems in geometry and arithmetic. Providence, Amer. Math. Soc. Contemp. Math. 237, 9-28 (1999).
4. Wenxiong Chen and Congming Li, Classification of solutions of some nonlinear elliptic equations. Duke Math. J. 63 (1991), 615-622.
5. Y.S. Choi and Xingwang Xu, Nonlinear biharmonic equations with negative exponents. Preprint (2000).
6. C. Loewner and L. Nirenberg, Partial differential equations invariant under conformal or projective transformations. L. Ahlfors (ed.), Contributions to analysis. Academic Press, New York, 245-272 (1974).
7. P. Pucci and J. Serrin, A general variational identity. Indiana Univ. Math. J. 35 (1986), 681-703.
8. W. Walter, Ordinary differential equations, Graduate texts in mathematics 182, Springer Verlag, 1998.
9. Juncheng Wei and Xingwang Xu, Classification of solutions of higher order conformally invariant equations. Math. Ann. 313 (1999), 207-228.