Results 101 to 110 of about 5,752 (197)

On the Dirichlet problem for Hessian equations

Acta Mathematica, 1995
The problem \(F(D^2u)\equiv f(\lambda[D^2u])= \psi\) with Dirichlet boundary conditions is studied. Here the problem is considered on a domain in \(\mathbb{R}^n\) and \(f\) is either a symmetric function \(S_k(\lambda)\) on \(\mathbb{R}^n\) or a quotient of elementary symmetric functions \(S_{k,l}(\lambda)= S_k(\lambda)/S_l(\lambda)\) with \(n\geq k>l ...
openaire   +3 more sources

Vertical alignment of stagnation points in pseudo-plane ideal flows

AIP Advances, 2017
Recent studies of pseudo-plane ideal flow (PIF) reveal a ubiquitous presence of vortex alignment in both homogeneous and stratified fluids, and in both inertial and rotating reference frames as well.
Che Sun
doaj   +1 more source

Classical Neumann Problems for Hessian Equations and Alexandrov–Fenchel’s Inequalities

, 2018
Recently, the 1st named author together, with Xinan Ma [12], has proved the existence of the Neumann problems for Hessian equations. In this paper, we proceed further to study classical Neumann problems for Hessian equations.
Guohuan Qiu, Chao Xia
core   +1 more source

Local solvability of degenerate Monge-Ampere equations and applications to geometry

Electronic Journal of Differential Equations, 2007
We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampere type. These are: the problem of locally prescribed Gaussian curvature for surfaces in $mathbb{R}^{3}$, and the local
Marcus A. Khuri
doaj  

Interior derivative estimates and Bernstein theorem for Hessian quotient equations

, 2023
In this paper, we obtain the interior derivative estimates of solutions for elliptic and parabolic Hessian quotient equations. Then we establish the Bernstein theorem for parabolic Hessian quotient equations, that is, any parabolically convex solution $u=
Wang, Bo, Bao, Jiguang, Dai, Limei
core   +1 more source

Robust Online Correlation Method for Identification of a Nonparametric Model of Type 1 Diabetes

IEEE Access
The paper presents an online version of the identification method for estimating the impulse responses in the case of a two-input single-output linear empirical model of type 1 diabetes that allows us to adapt the model parameters due to the intra ...
Martin Dodek, Eva Miklovicova
doaj   +1 more source

Functions with orthogonal Hessian

, 2010
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C^2 functions with orthogonal Hessian in terms of a property named “second order angle condition”
Marcellini, Paolo, PAOLINI, EMANUELE, B. DACOROGNA, P. MARCELLINI, Dacorogna, Bernard   +4 more
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The Neumann Problem for Parabolic Hessian Quotient Equations

In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the $k$-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian ...
Ma, Xi-Nan, Chen, Chuanqiang, Zhang, Dekai   +2 more
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Monge-Amp\`ere equations on compact Hessian manifolds

International audienceWe consider degenerate Monge-Amp\`ere equations on compact Hessian manifolds. We establish compactness properties of the set of normalized quasi-convex functions and show local and global comparison principles for twisted Monge-Amp\`
Guedj, Vincent, Tô, Tat Dat
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Thermodynamic properties of non-singular Hayward black hole through the lens of minimal gravitational decoupling

European Physical Journal C: Particles and Fields
In this article, we formulate three different solutions by extending the regular Hayward black hole in the background of gravitational decoupling, a well-known approach to extend the existing solutions to the more generalized domain.
Tayyab Naseer, Jackson Levi Said, M. Sharif, Abdel-Haleem Abdel-Aty   +3 more
doaj   +1 more source