Starshaped compact hypersurfaces with prescribed m-th mean curvature in elliptic space (2009)
Abstract. In this paper we consider the problem of finding a star-shaped compact hypersurface with prescribed k-th mean curvature in hyperbolic space. Under some sufficient conditions, we obtain an...
Jin, Qinian, Tautenhahn, Ulrich
We consider the computation of stable approximations to the exact solution $x^\dag$ of nonlinear ill-posed inverse problems $F(x)=y$ with nonlinear operators $F:X\to Y$ between two Hilbert spaces $X$...
In this paper we consider the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed inverse problems. Under merely Lipschitz condition, we prove that this method together with...
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}.
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
Starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space (2005)
We study the existence of starshaped compact hypersurfaces with prescribed m-th mean curvature in hyperbolic space.
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...