Results 1 to 10 of about 15,280 (155)

Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian

open access: yesMathematics, 2019
This paper is devoted to investigating a class of nonhomogeneous Choquard equations with perturbation involving p-Laplacian. Under suitable hypotheses about the perturbation term, the existence of at least two nontrivial solutions for the given problems ...
Xiaoyan Shi, Yulin Zhao, Haibo Chen
doaj   +4 more sources

Minimax optimal control problems for an extensible beam equation with uncertain initial velocity

open access: yesBoundary Value Problems, 2023
This paper is devoted to the problem of minimax optimal control problems of an extensible beam equation with distributed controls and initial velocity disturbances (or noises).
Jin-soo Hwang
doaj   +2 more sources

Quadratic Cost Minimax Optimal Control Problems for a Semilinear Viscoelastic Equation with Long Memory

open access: yesJournal of Mathematics, 2021
In this paper, we study the quadratic cost minimax optimal control problems for a semilinear viscoelastic equation with long memory. A global well-posedness theorem regarding the solutions to its Cauchy problem is given.
Jin-soo Hwang
doaj   +2 more sources

Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation

open access: yesDiscrete Dynamics in Nature and Society, 2009
We consider the existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation. By means of the minimax methods in the critical point theory, some new results are obtained.
Tieshan He, Fengjian Yang
doaj   +2 more sources

A minimax inequality for a class of functionals and applications to the existence of solutions for two-point boundary-value problems

open access: yesElectronic Journal of Differential Equations, 2006
In this paper, we establish an equivalent statement to minimax inequality for a special class of functionals. As an application, we prove the existence of three solutions to the Dirichlet problem $$displaylines{ -u''(x)+m(x)u(x) =lambda f(x,u(x)
Ghasem Alizadeh Afrouzi   +1 more
doaj   +2 more sources

Minimax programming problems subject to addition-Łukasiewicz fuzzy relational inequalities and their optimal solutions [PDF]

open access: yesFuzzy Sets Syst., 2023
This article focuses on minimax programming problems subject to addition-{\L}ukasiewicz fuzzy relational inequalities. We first establish two necessary and sufficient conditions that a solution of the fuzzy relational inequalities is a minimal one and ...
Xue-ping Wang, Meng Li, Q. Shu
semanticscholar   +1 more source

On sufficient “local” conditions for existence results to generalized p(.)-Laplace equations involving critical growth

open access: yesAdvances in Nonlinear Analysis, 2022
In this article, we study the existence of multiple solutions to a generalized p(⋅)p\left(\cdot )-Laplace equation with two parameters involving critical growth.
Ho Ky, Sim Inbo
doaj   +1 more source

Path-Dependent Hamilton–Jacobi Equations: The Minimax Solutions Revised [PDF]

open access: yesApplied Mathematics and Optimization, 2020
Motivated by optimal control problems and differential games for functional differential equations of retarded type, the paper deals with a Cauchy problem for a path-dependent Hamilton–Jacobi equation with a right-end boundary condition.
M. Gomoyunov, N. Lukoyanov, A. Plaksin
semanticscholar   +1 more source

Minimax inequality for a special class of functionals and its application for existence of three solutions for a Dirichlet problem involving the p-Laplacian

open access: yesInternational Mathematical Forum, 2007
In this paper, we establish an equivalent statement of minimax inequality sup≥0 inf u∈X (Φ(u )+ λΨ(u )+ λρ) < inf u∈X sup≥0 (Φ(u )+ λΨ(u )+ λρ) ,ρ ...
G. A. Afrouzi, S. Heidarkhani
openaire   +1 more source

A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces [PDF]

open access: yes, 2017
Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a Michael selection theorem for lower semicontinuous set-valued maps which ...
Castellani, Marco   +2 more
core   +2 more sources

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