Results 41 to 50 of about 1,227,664 (287)

A Gradient Type Term for the k-Hessian Equation

The Journal of Geometric Analysis, 2023
In this paper, we propose a gradient type term for the $k$-Hessian equation that extends for $k>1$ the classical quadratic gradient term associated with the Laplace equation. We prove that such as gradient term is invariant by the Kazdan-Kramer change of variables.
Mykael Cardoso, Jefferson de Brito Sousa, José Francisco de Oliveira   +2 more
openaire   +2 more sources

Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations [PDF]

, 2016
We prove global regularity in weighted Lebesgue spaces for the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equations.
Palagachev, Dian K., Mikyoung Lee, Byun, Sun-Sig, Dian K. Palagachev, Lee, Mikyoung, Sun-Sig Byun   +5 more
core   +1 more source

Isogenies on twisted Hessian curves

Journal of Mathematical Cryptology, 2021
Elliptic curves are typically defined by Weierstrass equations. Given a kernel, the well-known Vélu's formula shows how to explicitly write down an isogeny between Weierstrass curves. However, it is not clear how to do the same on other forms of elliptic
Perez Broon Fouazou Lontouo, Dang Thinh, Fouotsa Emmanuel, Moody Dustin   +3 more
doaj   +1 more source

Maximum principles for viscosity solutions of weakly elliptic equations

Bruno Pini Mathematical Analysis Seminar, 2019
Maximum principles play an important role in the theory of elliptic equations. In the last decades there have been many contributions related to the development of fully nonlinear equations and viscosity solutions.
Antonio Vitolo
doaj   +1 more source

A projected Hessian Gauss-Newton algorithm for solving systems of nonlinear equations and inequalities

International Journal of Mathematics and Mathematical Sciences, 2001
Solving systems of nonlinear equations and inequalities is of critical importance in many engineering problems. In general, the existence of inequalities in the problem adds to its difficulty.
Mahmoud M. El-Alem, Mohammedi R. Abdel-Aziz, Amr S. El-Bakry   +2 more
doaj   +1 more source

Nonexistence results of positive solutions of Heisenberg Hessian equations and inequalities on the Heisenberg group

Analysis and Geometry in Metric Spaces
In this article, we study Liouville type theorems of fully nonlinear elliptic partial differential equations on the Heisenberg group and obtain some nonexistence results of positive solutions of Heisenberg Hessian equations (and inequalities), including ...
Chen Chuanqiang, Ma Yan
doaj   +1 more source

Noether symmetry approach in Eddington-inspired Born–Infeld gravity

European Physical Journal C: Particles and Fields, 2021
In this work, we take a short recap of a formal framework of the Eddington-inspired Born–Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS).
Thanyagamon Kanesom, Phongpichit Channuie, Narakorn Kaewkhao   +2 more
doaj   +1 more source

Structural Fluctuation, Relaxation, and Folding of Protein: An Approach Based on the Combined Generalized Langevin and RISM/3D-RISM Theories

Molecules, 2023
In 2012, Kim and Hirata derived two generalized Langevin equations (GLEs) for a biomolecule in water, one for the structural fluctuation of the biomolecule and the other for the density fluctuation of water, by projecting all the mechanical variables in ...
Fumio Hirata
doaj   +1 more source

Influence of Scan Strategies in Electron Beam Powder Bed Fusion on Solidification, Microstructure, and High‐Temperature Compressive Properties of γ′‐Strengthened Inconel 738LC

Advanced Engineering Materials, EarlyView.
Experiments and thermophysical simulations were conducted to investigate the electron beam powder bed fusion electron beam (PBF‐EB/M) process for the γ′‐strengthened nickel‐based superalloy Inconel 738LC. The results demonstrate the impact of process‐induced microstructural variations on high‐temperature mechanical behavior, providing a basis for ...
Jan Niklas Petenati, Karthik Kumar Banku, Prasanth Bondi, Ivan Zhirnov, Yangyiwei Yang, Gordon Schmidt, Jürgen Christen, Georg Hasemann, Manja Krüger, Bai‐Xiang Xu, Bilal Gökce, Silja‐Katharina Rittinghaus   +11 more
wiley   +1 more source

Spectral CG Algorithm for Solving Fuzzy Non-linear Equations

Iraqi Journal for Computer Science and Mathematics, 2022
The non-linear conjugate gradient method is a very effective technique for addressing Large-Scale minimization problems, and it has a wide range of applications in Mathematics, Chemistry, Physics, Engineering, and Medicine, etc.
Mezher M. Abed, Ufuk Öztürk, Hisham Khudhur   +2 more
doaj   +1 more source