A5024736790- Geometric Analysis and Curvature Flows
- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Geometry and complex manifolds
- Spectral Theory in Mathematical Physics
- Advanced Differential Geometry Research
- Numerical methods in inverse problems
- Point processes and geometric inequalities
- Geometric and Algebraic Topology
- Analytic and geometric function theory
- Composite Material Mechanics
- Elasticity and Wave Propagation
- Differential Equations and Boundary Problems
- Mathematical Dynamics and Fractals
- Dermatological and Skeletal Disorders
- Graph theory and applications
- Mathematics and Applications
- Mechanical Behavior of Composites
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Therapeutic Uses of Natural Elements
- Advanced Battery Technologies Research
- Nonlinear Waves and Solitons
- Polymer Science and Applications
- Fractional Differential Equations Solutions
- Holomorphic and Operator Theory
Hubei University
1987-2025
Southern University of Science and Technology
2022-2023
Universidade de Brasília
2012-2021
Max Planck Institute for Mathematics in the Sciences
2009-2010
Max Planck Institute for Mathematics
2010
University of Science and Technology of China
1991-1997
Instituto Nacional de Matemática Pura e Aplicada
1997
Instituto de Pesquisas Jardim Botânico do Rio de Janeiro
1997
Tohoku University
1994-1995
Fudan University
1989
Li1+xAlxTi2-x(PO4)3 (LATP) is a NASICON-type solid electrolyte that presents stability in aqueous media and high ion conductivity. With these advantages, it expected to be used as cathode separator coating material for lithium-ion batteries improve battery performance. However, also displays level of residual moisture introduction due its strong water absorption. Meanwhile, LATP particle size key influential factor the thereby produces an impact on In this research, we prepared three...
In this paper, we prove that complete open Riemannian manifolds with non-negative Ricci curvature of dimension greater than or equal to three in which some Caffarelli–Kohn–Nirenberg type inequalities are satisfied close the Euclidean space.
We find a new sharp Caffarelli-Kohn-Nirenberg inequality and show that the Euclidean spaces are only complete non-compact Riemannian manifolds of nonnegative Ricci curvature satisfying this inequality.We also open manifold with non-negative in which optimal Nash holds is isometric to space.
We study eigenvalues of polyharmonic operators on compact Riemannian manifolds with boundary (possibly empty). In particular, we prove a universal inequality for the domains in Euclidean space. This controls $k$th eigenvalue by lower eigenvalues, independently particular geometry domain. Our is sharper than known Payne-Pólya-Weinberg type and also covers important Yang Dirichlet Laplacian. inequalities order operator space which case biharmonic buckling problem strengthen estimates obtained...
Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper Omega overbar"> <mml:semantics> <mml:mover> <mml:mi mathvariant="normal">Ω</mml:mi> <mml:mo accent="false">¯</mml:mo> </mml:mover> <mml:annotation encoding="application/x-tex">\overline {\Omega }</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be an (<inline-formula alttext="n plus 1"> <mml:mrow> <mml:mi>n</mml:mi> <mml:mo>+</mml:mo>...
We prove that for any given integer $n\geq 2$ and $q\in [1, n)$ there exists a constant $\epsilon= \epsilon(n,q)>0$ such $n$-dimensional complete Riemannian manifold with nonnegative Ricci curvature, in which the Sobolev inequality \[ \left(\int_M|f|^{\frac {nq}{n-q}}\,dv\right)^{\frac{n-q}{nq}}\leq (K(n,q)+\epsilon)\left(\int_M|\nabla f|^q \,dv\right)^{\sfrac{1}{q}}, \,\,\forall f\in C_0^{\infty}(M) \] holds $K(n,q)$ optimal of this Euclidean space $R^n$, is diffeomorphic to~$R^n$.
We investigate the eigenvalues of buckling problem arbitrary order on compact domains in Euclidean spaces and spheres. obtain universal bounds for kth eigenvalue terms lower independently particular geometry domain.