Some extrinsic geometric characterizations of quasi-product production functions in microeconomics
Y Luo, X Wang - Journal of Mathematical Analysis and Applications, 2024 - Elsevier
The theory of production functions plays an important role in the field of economic analysis.
The purpose of the current work is to investigate quasi-product production functions in …
The purpose of the current work is to investigate quasi-product production functions in …
Solution of the system of nonlinear PDEs characterizing CES property under quasi-homogeneity conditions
The constant elasticity of substitution (CES for short) is a basic property widely used in some
areas of economics that involves a system of second-order nonlinear partial differential …
areas of economics that involves a system of second-order nonlinear partial differential …
Classification of separable hypersurfaces with constant sectional curvature
In this paper, we give a full classification of the separable hypersurfaces of constant
sectional curvature in the Euclidean $ n $-space $\mathbb {R}^ n $. In dimension $ n= 3 …
sectional curvature in the Euclidean $ n $-space $\mathbb {R}^ n $. In dimension $ n= 3 …
Classification of quasi‐product production models with minimal isoquants
The study of the minimality of (hyper) surfaces is a fundamental problem in mathematics with
major applications in both fundamental and applied sciences. Recently, the minimality of …
major applications in both fundamental and applied sciences. Recently, the minimality of …
[HTML][HTML] On some geometric properties of quasi-product production models
In this article we obtain classification results on the quasi-product production functions in
terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting …
terms of the geometry of their associated graph hypersurfaces, generalizing in a new setting …
On the minimality of quasi‐sum production models in microeconomics
Y Du, Y Fu, X Wang - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
Historically, the minimality of surfaces is extremely important in mathematics, and the study
of minimal surfaces is a central problem, which has been widely concerned by …
of minimal surfaces is a central problem, which has been widely concerned by …
On a generalization of a class of production functions
GE Vîlcu - Applied Economics Letters, 2018 - Taylor & Francis
ABSTRACT In Appl. Econ. Lett. 18 (2011), 1777–1784, as a natural generalization of some
famous production models with two inputs, CA Ioan and G. Ioan introduced a new class of …
famous production models with two inputs, CA Ioan and G. Ioan introduced a new class of …
Classification of graph surfaces induced by weighted-homogeneous functions exhibiting vanishing Gaussian curvature
Developable surfaces are surfaces in three-dimensional Euclidean space with zero
Gaussian curvature. If these surfaces are explicitly defined in the functional form z= f (x, y) …
Gaussian curvature. If these surfaces are explicitly defined in the functional form z= f (x, y) …
Geometric characterizations of quasi-product production models in economics
Y Fu, WG Wang - Filomat, 2017 - JSTOR
In this work, we investigate quasi-product production functions taking the form: L (x 1,⋯, xn)=
F (∏ i= 1 nfi (xi))). We get a simple geometric classification of quasi-product production …
F (∏ i= 1 nfi (xi))). We get a simple geometric classification of quasi-product production …
On quasi-homogeneous production functions
In this paper, we investigate the class of quasi-homogeneous production models, obtaining
the classification of such models with constant elasticity with respect to an input as well as …
the classification of such models with constant elasticity with respect to an input as well as …