Constant rank theorems for curvature problems via a viscosity approach

Hypersurfaces with Constant Mean Curvature in a Lorentzian Space Form

Structure Theorems for Constant Mean Curvature Surfaces Bounded by a Planar Curve

3 is the boundary of two spherical caps of constant mean curvature H for any positive number H, which is at most the radius of C. It is natural to ask whether spherical caps are the only possible examples. Some examples of constant mean curvature immersed tori by Wente [7] indicate that there are compact genus-one immersed constant mean curvature surfaces with boundary C that are approximated b...

Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2

Let R be an algebraic curvature tensor for a non-degenerate inner product of signature (p, q) where q ≥ 5. If π is a spacelike 2 plane, let R(π) be the associated skewsymmetric curvature operator. We classify the algebraic curvature tensors so R(·) has constant rank 2 and show these are geometrically realizable by hypersurfaces in flat spaces. We also classify the Ivanov-Petrova algebraic curva...

statistical inference via empirical bayes approach for stationary and dynamic contingency tables

چکیده ندارد.

Free Boundary Problems for Tumor Growth: a Viscosity Solutions Approach

The mathematical modeling of tumor growth leads to singular “stiff pressure law” limits for porous medium equations with a source term. Such asymptotic problems give rise to free boundaries, which, in the absence of active motion, are generalized Hele-Shaw flows. In this note we use viscosity solutions methods to study limits for porous medium-type equations with active motion. We prove the uni...