期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (1)
The rigidity of the spacetime positive mass theorem states that an initial data set (M, g, k) satisfying the dominant energy condition with vanishing ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (1)
The relative index theorem is proved for general first-order elliptic operators that are complete and coercive at infinity over measured manifolds. Th......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (4)
In this paper,we apply the abstract Morse index formulation developed in Tran and Zhou (On the Morse index with constraints: an abstract formulation. ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (5)
We consider stability in an inverse problem of determining the material coefficient matrix for a coupled system that describes acoustic interactions, ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (7)
In this paper, we prove some analogues of Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet (discrete) Laplace eigenvalues on......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (7)
In this article, we consider a combination of local and nonlocal Laplace equation with singular nonlinearities. For such mixed problems, we establish ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (7)
In this paper, we investigate the uniqueness of uniformly convex solutions to geometric partial differential equations (sk(?) )(sl(?)) = u(p-1 )when -......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (8)
In this paper we study triharmonic hypersurfaces immersed in a space form Nn+1(c). We prove that any proper CMC triharmonic hypersurface in the sphere......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (8)
In this paper, we introduce the topological state derivative for general topological dilatations and explore its relation to standard optimal control ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (9)
Minimal invariant, minimal totally real, and minimal CR-submanifolds in the 4-dimensional homogeneous solvable Lie group Sol(0)(4) equipped with stand......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (9)
In this article, we study eternal solutions to the Allen-Cahn equation in the 3-sphere, in view of the connection between the gradient flow of the ass......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (10)
It is well known that minimal surfaces over convex domains are always globally area-minimizing, which is not necessarily true for minimal surfaces ove......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (10)
We present results about harmonic maps with possibly infinite energy from punctured Riemann surfaces to CAT(0) spaces. In particular, we give precise ......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (11)
In this paper, we give a characterization of Aut(P-n)-invariant strongly pseudoconvex complex Finsler metrics on the unit polydisk in Cn. We prove tha......
期刊： JOURNAL OF GEOMETRIC ANALYSIS, 2023; 33 (11)
We are concerned with the global well-posedness of compressible magneto-micropolar fluid equations (1.1)-(1.2) in R-3. First, by a refined energy meth......
