期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (1)
We give a self-contained treatment of set-theoretic subsolutions to flow by mean curvature, or, more generally, to flow by mean curvature plus an ambi......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
We introduce real structures on L-twisted Higgs pairs over a compact connected Riemann surface X equipped with an anti-holomorphic involution, where L......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
In this article, we use the Bergman function, which is introduced by the second author in [Ya], to study the equivalence problem of bounded complete R......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
Biconservative surfaces of Riemannian 3-space forms N3(p), are either constant mean curvature (CMC) surfaces or rotational lin-ear Weingarten surfaces......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
Let n >= 3, 0 < m < (n-2) (n) and T > 0. We construct positive solu-tions to the fast diffusion equation u(t )= Delta u(m) in R-n x (0, T)......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (1)
We establish results on unique continuation at the boundary for the solutions of Delta u = f, f harmonic, and the biharmonic equation Delta 2u = 0. Th......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. In particular, for strongly quasipositive fibred k......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (1)
In this paper we consider the weak formulation of the inverse anisotropic mean curvature flow, in the spirit of HuiskenIlmanen [15]. By using approxim......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
Building off ideas developed by Agol, we construct a family of hyperbolic knots Kam, whose complements contain no closed incom-pressible surfaces and ......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
We consider minimization problems of functionals given by the difference between the Willmore functional of a closed surface and its area, when the la......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
We study the eigenvalues of the Dirichlet-to-Neumann operator on a finite subgraph of the integer lattice symbolscript We estimate the first symbolscr......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (2)
In this note we prove the following theorem in any Carnot group of step two G: lim(s NE arrow 1/2) (1 - 2s)B-H,B-s(E) = 4/root pi B-H(E). Here, B-H(E)......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (1)
In this paper, we study the flow of closed, starshaped hypersurfaces in Rn+1 with speed r(alpha)sigma(1/2)(2), where sigma(1/2)(2) is the normalized s......
期刊： COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2023; 31 (1)
Let M be a compact oriented 3-dimensional smooth manifold. In this paper, we construct a moduli space consisting of pairs (Sigma, psi) where Sigma is ......
