Results 1 to 10 of about 210 (66)
Electronic 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
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Minimax optimal control problems for an extensible beam equation with uncertain initial velocity
Boundary 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
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Journal 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
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Advances 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
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International 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
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Journal of Nonlinear Sciences and Applications, 2010 In this paper, we establish an equivalent statement of minimax inequality for a special class of functionals. As an application, a result for the existence of three solutions to the Dirichlet problem ‰ i(ju 0 j pi2 u 0 ) 0 = ‚f(x;u); u(a) = u(b) = 0; where f : (a;b) £ R ! R is a continuous function, p > 1 and ‚ > 0, is emphasized.
G.A. AFROUZI +3 more
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Existence of Solutions for Nonhomogeneous Choquard Equations Involving p-Laplacian
Mathematics, 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
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Homoclinic Solutions for a Second-Order Nonperiodic Asymptotically Linear Hamiltonian Systems
Abstract and Applied Analysis, 2013 We establish a new existence result on homoclinic solutions for a second-order nonperiodic Hamiltonian systems. This homoclinic solution is obtained as a limit of solutions of a certain sequence of nil-boundary value problems which are obtained by the ...
Qiang Zheng
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Existence of Solutions to Boundary Value Problems for the Discrete Generalized Emden-Fowler Equation
Discrete 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
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Boundary Value Problems, 2017 In this paper we study the existence of sign-changing solutions for nonlinear problems involving the fractional Laplacian 0.1 { ( − Δ ) s u − λ u = f ( x , u ) , x ∈ Ω , u = 0 , x ∈ R n ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} (-\Delta)^{s}u-
Huxiao Luo, Xianhua Tang, Shengjun Li
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