SelectedWorks - Vy Khoi Le

Contact

Selected Works of Vy Khoi Le

Professor

Dr. Vy Khoi Le is a Professor in the department of Mathematics and Statistics at Missouri University of Science and Technology. He has a Ph.D. from the University of Utah.

Works
About

×

About Vy Khoi Le

Dr. Vy Khoi Le is a Professor in the department of Mathematics and Statistics at Missouri University of Science and Technology. He has a Ph.D. from the University of Utah.

Present	Professor, Missouri University of Science and Technology ‐ Mathematics and Statistics
Institution Organization Position Type Position Title Time Period to Options Current Position Affiliate my profile with this Institution

Applied Mathematics, Mathematics, and Statistics and Probability

Nonlinear differential equations, Bifurcation, and Calculus of variations

1995	Ph.D., University of Utah
Institution Organization Student Type Student Title Degree Time Period to Options Currently enrolled Affiliate my profile with this Institution

Scopus Author Profile

Missouri University of Science and Technology

108 Rolla Building

Rolla, MO 65409

573-341-4644

Fax: 573-341-4741

Email:

On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined ...

Communications in Nonlinear Science and Numerical Simulation (2024)

This article addresses two main objectives. First, it establishes a functional analytic framework and presents existence results for a quasilinear ...

On Variational Inequalities on Exterior Domains with Multivalued Convection Terms

Nonlinear Analysis: Real World Applications (2023)

In this paper, we study variational inequalities of the form 〈−ΔNu,v−u〉+〈F(u),v−u〉≥0,∀v∈Ku∈K,where ΔNu=div|∇u|N−2∇u is the N-Laplacian, K is a closed convex ...

Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal ...

Applicable Analysis (2023)

Siegfried Carl and Vy Khoi Le

In this paper, we study multi-valued quasilinear elliptic variational inequalities of the form (Formula presented.) in all of (Formula presented.) ...

On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

Journal of Optimization Theory and Applications (2022)

We are concerned in this article with the existence of solutions to inclusions containing generalized pseudomonotone perturbations of maximal monotone ...

On Inclusions with Monotone-Type Mappings in Nonreflexive Banach Spaces

Journal of Optimization Theory and Applications (2022)

We are concerned in this article with the existence of solutions to inclusions containing generalized pseudomonotone perturbations of maximal monotone ...

Maintenance Optimization in a Digital Twin for Industry 4.0

Annals of Operations Research (2022)

Abhijit Gosavi and Vy Khoi Le

The advent of Internet of Things and artificial intelligence in the era of Industry 4.0 has transformed decision-making within production ...

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

In the study of a wide range of nonlinear elliptic and parabolic boundary value problems, the method of sub-supersolution has ...

Contribution to Book

Mathematical Preliminaries

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

In this chapter we provide definitions and theorems that will be used in the sequel pertaining to major function spaces, ...

Contribution to Book

Multi-Valued Elliptic Variational Inequalities on Convex Sets

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

This chapter deals with general multi-valued elliptic variational inequalities of the abstract form where L ∈ X∗ and the constraints ...

Contribution to Book

Multi-Valued Parabolic Variational Inequalities on Convex Sets

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

This chapter is devoted to multi-valued evolutionary variational inequalities of the abstract form and related systems under constraints given by ...

Contribution to Book

Multi-Valued Variational Equations

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

The aim of this chapter is to become acquainted with multi-valued pseudomonotone operators and to prove existence and enclosure results ...

Contribution to Book

Multi-Valued Variational Inequalities in Unbounded Domains

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

The main focus in this chapter is on multi-valued quasilinear elliptic variational inequalities of the form in all of ℝN ...

Contribution to Book

Multi-Valued Variational Inequalities with Convex Functionals

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

In this chapter, the sub-supersolution method is extended to MVIs (1.1 ) and (1.3 ) with general convex, lower semicontinuous, ...

Extremal Solutions in Systems of Variational Inequalities with Multivalued Mappings

Applicable Analysis (2021)

In this paper, we use a sub-supersolution method to study systems of variational inequalities of the form: (Formula presented), where ...

On Systems of Parabolic Variational Inequalities with Multivalued Terms

Monatshefte fur Mathematik (2021)

Siegfried Carl and Vy Khoi Le

In this paper we present an analytical framework for the following system of multivalued parabolic variational inequalities in a cylindrical ...

Multi-Valued Variational Inequalities and Inclusions

Springer Monographs in Mathematics (2021)

Siegfried Carl and Vy Khoi Le

This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with ...

On Variational Inequalities with Multivalued Perturbing Terms Depending on Gradients

Differential Equations and Dynamical Systems (2020)

In this paper, we study variational inequalities of the form {⟨A(u),v-u⟩+⟨F(u),v-u⟩+J(v)-J(u)≥0,∀v∈Xu∈X,where A and F are multivalued operators represented by integrals, ...

Extremal Solutions of Multi-Valued Variational Inequalities in Plane Exterior Domains

Journal of Differential Equations (2019)

Siegfried Carl and Vy Khoi Le

Let Ω = ℝ2 \ B̅(̅0̅,̅1̅)̅ be the exterior of the closed unit disc in the plane. In this paper ...

On the Solvability of Inclusions with Multivalued Compact Perturbations of ...

Set-Valued and Variational Analysis (2019)

This paper is about the solvability of the inclusion A(u, u) + F(u) ∋ L, where X is a reflexive ...

On the Existence of Solutions of Variational Inequalities in Nonreflexive ...

Banach Journal of Mathematical Analysis (2019)

We are concerned in this article with an existence theorem for variational inequalities in nonre exive Banach spaces with a ...

On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals

Advanced Nonlinear Studies (2018)

Vy Khoi Le and Klaus Schmitt

In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u ...

Existence Results for Quasi-Variational Inequalities with Multivalued Perturbations of Maximal ...

Results in Mathematics (2017)

This paper is about the existence of solutions of the following abstract quasi-variational inequality:(Formula presented.). where X is a reflexive ...

On the Convergence of Solutions of Inclusions Containing Maximal Monotone ...

Nonlinear Analysis, Theory, Methods and Applications (2016)

We are concerned in this paper with the existence, boundedness, and the convergence of solutions to a sequence of inclusions ...

On Variational and Quasi-variational Inequalities with Multivalued Lower Order Terms ...

Nonlinear Analysis: Theory, Methods and Applications (2014)

In this paper, we consider the existence and some qualitative properties of solutions of variational inequalities of the form: and ...

Existence and Enclosure of Solutions to Noncoercive Systems of Inequalities ...

Discrete and Continuous Dynamical Systems- Series A (2013)

This paper is about systems of variational inequalities of the form: {‹AkUk+Fk(u),vk−uk›≥0,∀vk∈Kkuk∈Kk, (k=1,…,m), where Ak and Fk are multivalued mappings ...