Results 51 to 60 of about 148 (97)
Maximum principle for delayed stochastic mean-field control problem with state constraint
Advances in Difference Equations, 2019 In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
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Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian
Advances in Mathematical Physics, 2015 We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator: -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in Ω, ∂u/∂ν=0, on ∂Ω.
Qing Miao
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Ekeland’s Variational Principle and Minimization Takahashi’s Theorem in Generalized Metric Spaces
Mathematics, 2018 We consider a distance function on generalized metric spaces and we get a generalization of Ekeland Variational Principle (EVP). Next, we prove that EVP is equivalent to Caristi–Kirk fixed point theorem and minimization Takahashi’s theorem.
Eshagh Hashemi, Reza Saadati
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Fixed Point Theory and Algorithms for Sciences and EngineeringThis paper presents a straightforward statement for Khamsi’s theorem without assuming continuity or nondecreasing restrictions on η. Additionally, a new proof provides an affirmative answer to Kirk’s problem, supported by examples.
Hamid Mottaghi Golshan
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Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations
Boundary Value Problems, 2006 The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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Maximum principle for a nonlinear size-structured model of fish and fry management
Nonlinear Analysis, 2018 This paper investigates the maximum principle for a nonlinear size-structured model that describes the optimal management of the fish resources taking into account harvesting the fish and putting the fry.
Rong Liu, Guirong Liu
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Modern perspectives in Proof Theory. [PDF]
Philos Trans A Math Phys Eng Sci, 2023 Aguilera JP, Pakhomov F, Weiermann A.
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Le Matematiche, 2006 A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3
Abstract and Applied Analysis, 2014 We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3|∇u|2dx)Δu+u=k(x)f(u)+h(x), x∈R3, u∈H1(R3), u>0, x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
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From Caristi’s Theorem to Ekeland’s Variational Principle in 0σ-Complete Metric-Like Spaces
Abstract and Applied Analysis, 2014 We discuss the extension of some fundamental results in nonlinear analysis to the setting of 0σ-complete metric-like spaces. Then, we show that these extensions can be obtained via the corresponding results in standard metric spaces.
Mohamed Jleli +3 more
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