Results 41 to 50 of about 1,030,362 (113)
Ekeland's inverse function theorem in graded Fréchet spaces revisited for multifunctions [PDF]
, 2017 Revised versionIn this paper, we present some implicit function theorems for set-valued mappings between Fréchet spaces. The proof relies on Lebesgue's Dominated Convergence Theorem and on Ekeland's variational principle.
Van Ngai Huynh +3 more
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Demonstratio MathematicaIn this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
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Abstract and Applied Analysis, 2012 We study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal state constraints. Applying the terminal perturbation method and Ekeland’s variation principle, a necessary
Shaolin Ji, Qingmeng Wei, Xiumin Zhang
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Positive solution for a nonlocal problem with strong singular nonlinearity
Open Mathematics, 2023 In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue +3 more
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From Catastrophe to Escape: A Bourdieusian Analysis of Personal Debt in The Netherlands
Sociology Compass, Volume 20, Issue 6, June 2026.ABSTRACT This paper examines how individuals experience and respond to personal debt, arguing that debt is not merely a financial problem but a systemic issue that affects social relationships, moral worth, and health. Drawing on online forum posts, and grounded in Bourdieu's theory of capital, the paper introduces an expanded framework of ‘assets’ and
Joost Beuving +4 more
wiley +1 more source
Abstract and Applied Analysis, 2014 This paper is devoted to the stochastic optimal control problems for systems governed by forward-backward stochastic Volterra integral equations (FBSVIEs, for short) with state constraints.
Qingmeng Wei, Xinling Xiao
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Product differentiation in the fruit industry: Lessons from trademarked apples
Agribusiness, Volume 42, Issue 1, Page 148-174, Winter 2026.Abstract We derive price premiums for patented or trademarked apple varieties, also known as “club apples,” compared to open‐variety apples. We use an expansive retail scanner dataset, along with unique data on apple taste characteristics, to estimate monthly club apple premiums for 2008–2018.
Modhurima Dey Amin +3 more
wiley +1 more source
Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang +3 more
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A Generalization of Ekeland's ϵ-Variational Principle and Its Borwein–Preiss Smooth Variant [PDF]
, 2000 We give a generalization of Ekeland's ϵ-Variational Principle and of its Borwein–Preiss smooth variant, replacing the distance and the norm by a “gauge-type” lower semi-continuous function.
Shuzhong, Shi, Yongxin, Li
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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
Boundary Value Problems, 2018 By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.
Chunhua Deng, Dong-Lun Wu
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