期刊： ANALYSIS & PDE, 2021; 14 (6)
Let Sigma be a complete Riemannian manifold with the volume-doubling property and the uniform Neumann-Poincare inequality. We show that any positive m......
期刊： ANALYSIS & PDE, 2021; 14 (3)
We study a class of Monge-Ampere-type functionals arising from the L-p dual Minkowski problem in convex geometry. As an application, we obtain some ex......
期刊： ANALYSIS & PDE, 2021; 14 (6)
We prove a C-1,C-1 estimate for solutions of complex Monge-Ampere equations on compact almost Hermitian manifolds. Using this C-1,C-1 estimate, we sho......
期刊： ANALYSIS & PDE, 2021; 14 (1)
We consider a compact manifold with a piece isometric to a (finite-length) cylinder. By making the length of the cylinder tend to infinity, we obtain ......
期刊： ANALYSIS & PDE, 2020; 13 (5)
Federer's characterization of sets of finite perimeter states (in Euclidean spaces) that a set is of finite perimeter if and only if the measure-theor......
期刊： ANALYSIS & PDE, 2020; 13 (5)
We prove variation-norm estimates for certain oscillatory integrals related to Carleson's theorem. Bounds for the corresponding maximal operators were......
期刊： ANALYSIS & PDE, 2019; 12 (5)
We say that a mapping v : R" Rd satisfies the (t, a)-N-property if 1-1a (v (E)) = 0 whenever 1-it (E) = 0, where 1-it means the Hausdorff measure. We ......
期刊： ANALYSIS & PDE, 2019; 12 (6)
It has been shown that zeros of Kac polynomials K-n (z) of degree n cluster asymptotically near the unit circle as n -> infinity under some assumpt......
期刊： ANALYSIS & PDE, 2019; 12 (8)
We are concerned with the dynamics of one-fold symmetric patches for the two-dimensional aggregation equation associated to the Newtonian potential. W......
期刊： ANALYSIS & PDE, 2018; 11 (4)
We consider a wave equation in three space dimensions, with a power-like nonlinearity which is either focusing or defocusing. The exponent is greater ......
期刊： ANALYSIS & PDE, 2018; 11 (4)
For all rank-2 Toda systems with an arbitrary singular source, we use a unified approach to prove: (1) The pair of local masses (sigma(1), sigma(2)) a......
期刊： ANALYSIS & PDE, 2018; 11 (6)
We obtain Dini- and Schauder-type estimates for concave fully nonlinear nonlocal parabolic equations of order sigma is an element of (0,2) with rough ......
期刊： ANALYSIS & PDE, 2017; 10 (6)
Let Omega subset of C-n be a bounded domain with the hyperconvexity index alpha(Omega) > 0. Let rho be the relative extremal function of a fixed cl......
期刊： ANALYSIS & PDE, 2017; 10 (6)
We study the MHD equations with small viscosity and resistivity coefficients, which may be different. This is a typical setting in high temperature pl......
