Results 81 to 90 of about 4,703 (266)

A quantitative result for the $k$-Hessian equation

In this paper, we study a symmetrization that preserves the mixed volume of the sublevel sets of a convex function, under which, a Pólya-Szeg\H o type inequality holds. We refine this symmetrization to obtain a quantitative improvement of the Pólya-Szeg\H o inequality for the $k$-Hessian integral, and, with similar arguments, we show a quantitative ...
Masiello A. L., Salerno F.
openaire   +3 more sources

Regularized Joint Reconstruction and Slab Combination for Accelerated Three‐Dimensional Multi‐Slab Diffusion‐Weighted Imaging Using Multi‐Scale Energy Models

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To jointly reconstruct high‐resolution diffusion‐weighted volumes and eliminate slab‐boundary artifacts while preserving fine anatomical detail from undersampled 3D multi‐slab k‐space acquisitions. Methods A bilinear forward model was formulated to describe the 3D multi‐slab acquisition, treating the image volume and slab excitation ...
Reza Ghorbani, Jyothi Rikhab Chand, Chu‐Yu Lee, Mathews Jacob, Merry Mani   +4 more
wiley   +1 more source

A New Finite-Difference Method for Nonlinear Absolute Value Equations

Mathematics
In this paper, we propose a new finite-difference method for nonconvex absolute value equations. The nonsmooth unconstrained optimization problem equivalent to the absolute value equations is considered.
Peng Wang, Yujing Zhang, Detong Zhu
doaj   +1 more source

Uniqueness of Solutions to a Nonlinear Elliptic Hessian Equation [PDF]

Journal of Applied Mathematics, 2016
Through an Alexandrov-Fenchel inequality, we establish the general Brunn-Minkowski inequality. Then we obtain the uniqueness of solutions to a nonlinear elliptic Hessian equation onSn.
openaire   +5 more sources

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

Optimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Quadratic Hessian Equation

We survey quadratic Hessian equations: definition, background, rigidity of entire solutions, regularity of viscosity solutions, a priori Hessian estimates, and open problems.
openaire   +2 more sources

Home and away: allometry and climate drive morphology of European rabbits in their native and introduced range

Oikos, EarlyView.
Climatic conditions shape phenotypic evolution by driving adaptations that optimise organismal function. Invasive species provide valuable systems to study these processes, as they often encounter novel climatic conditions in their introduced ranges. The European rabbit Oryctolagus cuniculus, native to the Iberian Peninsula, has established populations
Rishab Pillai, Natasha Lee Hiotis, Christine Böhmer, Cécile Callou, Thomas J. Nelson, Irina Ruf, Thomas J. Sanger, Julia Schaar, Kévin Le Verger, Madeleine Geiger, Brian Kraatz, Emma Sherratt   +11 more
wiley   +1 more source

New views of some invariants associated with the Cartesian 2D velocity gradient tensor

Quarterly Journal of the Royal Meteorological Society, EarlyView.
Vorticity and divergence of horizontal flow are fundamental quantities in meteorology; both are linear functions of the four elements of the 2D velocity gradient tensor and both are formally unchanged under coordinate rotation. We explore four quadratic functions of the elements that are geometrically invariant in this sense, finding some novel ...
I. Roulstone, S. A. Clough, A. A. White
wiley   +1 more source

Eigenvalue problems for a k-Hessian-type equation

Nonlinear Analysis
In this work, we focus on the eigenvalue problem for a class of k-Hessian-type equations. Under some suitable assumptions, we first determine the intervals of the parameter for the existence of nontrivial radial solutions.
Zedong Yang, Zhanbing Bai
doaj   +1 more source

Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications

Journal of Function Spaces, 2018
We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u,
Wenguo Shen
doaj   +1 more source