Symmetry and Asymmetry: The Method of Moving Spheres (2007)
Jin, Qinian, Li, Yanyan, Xu, Haoyuan
We consider some nonlinear elliptic equations on ${\mathbb R}^n$ and ${\mathbb S}^n$. By the method of moving spheres, we obtain the symmetry properties of solutions and some nonexistence results....
SYMMETRY AND ASYMMETRY: THE METHOD OF MOVING SPHERES (2007)
Qinian Jin, Yanyan Li, Haoyuan Xu
In this paper we will consider some nonlinear elliptic equations on R n and S n. We first consider (1.1) ∆u + c |x | 2u + u(n+2)/(n−2) = 0 and u> 0 in R n \{0}.
NONEXISTENCE OF POSITIVE SOLUTIONS FOR SOME FULLY NONLINEAR ELLIPTIC EQUATIONS ∗ (2005)
Qinian Jin, Yanyan Li, Haoyuan Xu, Q. Jin, Y. Li, H. Xu
Key words. Fully nonlinear elliptic equations, nonexistence, comparison principle AMS subject classifications. 35J60 It is well known that ∆u ≥ u p in R n has no positive solution if p> 1. For...