Li, YanYan:
Liouville type theorems for some conformally invariant fully nonlinear equations
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 14 (2003), fasc. n.3, p. 219-225, (English)
pdf (456 Kb), djvu (98 Kb). | MR2064268 | Zbl 1221.35149
Sunto
This is a report on some joint work with Aobing Li on Liouville type theorems for some conformally invariant fully nonlinear equations.
Referenze Bibliografiche
[1]
L. CAFFARELLI -
B. GIDAS -
J. SPRUCK,
Asymptotic symmetry and local behavior of semilinear elliptic equations with critical Sobolev growth.
Comm. Pure Appl. Math.,
42,
1989, 271-297. |
fulltext (doi) |
MR 982351 |
Zbl 0702.35085[2]
L. CAFFARELLI -
L. NIRENBERG -
J. SPRUCK,
The Dirichlet problem for nonlinear second-order elliptic equations, III: Functions of the eigenvalues of the Hessian.
Acta Math.,
155,
1985, 261-301. |
fulltext (doi) |
MR 806416 |
Zbl 0654.35031[3]
S.Y. A. CHANG -
M. GURSKY -
P. YANG,
An a priori estimate for a fully nonlinear equation on four-manifolds. Preprint. |
Zbl 1067.58028[4]
S.Y. A. CHANG -
M. GURSKY -
P. YANG,
Entire solutions of a fully nonlinear equation. Preprint. |
MR 2055838 |
Zbl 1183.53035[7]
B. GIDAS -
J. SPRUCK,
Global and local behavior of positive solutions of nonlinear elliptic equations.
Comm. Pure Appl. Math.,
34,
1981, 525-598. |
fulltext (doi) |
MR 615628 |
Zbl 0465.35003[10]
A. LI -
Y.Y. LI,
A general Liouville type theorem for some conformally invariant fully nonlinear equations. arXiv:math.AP/0301239 v1 21 Jan
2003. |
fulltext mini-dml |
Zbl 1221.35149[11]
A. LI -
Y.Y. LI,
Further results on Liouville type theorems for some conformally invariant fully nonlinear equations. arXiv:math.AP/0301254 v1 22 Jan
2003. |
fulltext mini-dml |
Zbl 1221.35149[12]
A. LI -
Y.Y. LI,
On some conformally invariant fully nonlinear equations, Part II: Liouville, Harnack and Yamabe. In preparation. |
fulltext mini-dml |
Zbl 1216.35038[13]
Y.Y. LI -
L. ZHANG,
Liouville type theorems and Harnack type inequalities for semilinear elliptic equations.
Journal d’Analyse Mathematique, to appear. |
fulltext (doi) |
MR 2001065 |
Zbl 1173.35477