n − 2 n+2 (1.1) −�u = u n−2 on R 2 n. The celebrated Liouville-type theorem of Caffarelli, Gidas, and Spruck [1] asserts
È� × �Ø�Û�Ý ÆÂ Í Ë � by (2008)
Ii. Liouville, Aobing Li, Yan Yan Li
ÊÙØ��Ö × ÍÒ�Ú�Ö×�ØÝ È� × �Ø�Û�Ý ÆÂ Í Ë � Let (M,g) beann-dimensional compact smooth Riemannian manifold (without boundary). For n=2, we know from the...
J. Eur. Math. Soc. 8, 295–316 c ○ European Mathematical Society 2006 (2008)
A fully nonlinear version of the
Jin, Qinian, Li, Aobing, Li, YanYan
This paper concerns a fully nonlinear version of the Yamabe problem on manifolds with boundary. We establish some existence results and estimates of solutions.
DOI 10.1007/s00526-006-0057-6 Calculus of Variations (2006)
Qinian Jin, Aobing Li, Yanyan Li
Estimates and existence results for a fully nonlinear
The Yamabe problem concerns finding a conformal metric on a given closed Riemannian manifold so that it has constant scalar curvature. This paper concerns mainly a fully nonlinear version of the...
On some conformally invariant fully nonlinear equations/ (2004)
"Graduate Program in Mathematics."
We present some further results on Liouville type theorems for some conformally invariant fully nonlinear equations.
A general Liouville type theorem for some conformally invariant fully nonlinear equations (2003)
We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.
A Liouville type theorem for some conformally invariant fully nonlinear equations (2002)
We establish a Liouville type theorem for some conformally invariant fully nonlinear equations
A fully nonlinear version of the Yamabe problem and a Harnack type inequality (2002)
We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic equations.
Partial Differential Equations (2002)
Aobing Li, Yan Yan Li, Presented Haïm Brèzis
A fully nonlinear version of the Yamabe problem and a Harnack type inequality Une version complètement nonlinéaire du problème de Yamabe et une inégalité du type Harnack