Results 61 to 70 of about 343 (158)
On Ekeland's Variational Principle and a Minimax Theorem
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Ekeland variational principle on weighted graphs
In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi’s fixed point theorem are equivalent ...
Monther Alfuraidan, Mohamed Khamsi
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Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity
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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Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems
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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Identification of random coefficient latent utility models
This paper provides nonparametric identification results for random coefficient distributions in perturbed utility models. We cover discrete choice and models of multiple purchases. We establish identification using variation in mean quantities. The results apply even when an analyst observes only aggregate demands but not whether goods are chosen ...
Roy Allen, John Rehbeck
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Ekeland's variational principle for vector optimization with variable ordering structure [PDF]
There are many generalizations of Ekeland's variational principle for vector optimization problems with fixed ordering structures, i.e., ordering cones.
Truong, Bao Q. +3 more
core
Professional perspectives on characteristics of legitimacy in court‐based mediation
Abstract In Norway, court‐based mediation involves judges, lawyers, and psychologists working as a mediation team to bring settlement and avoid litigation. This article reports from a qualitative study with twenty‐two judges, psychologists, and lawyers from four district courts.
Eva Cathrine Lyngstad, Ingunn Skjesol
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In this paper, we introduce the concept of τ-function which generalizes the concept of w-distance studied in the literature. We establish a generalized Ekeland's variational principle in the setting of lower semicontinuous from above and τ-functions.
Lin, Lai-Jiu, Du, Wei-Shih
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By using the well-known mountain-pass theorem and Ekeland’s variational principle, we prove that there exist at least two fully nontrivial solutions for a ( p , q ) $(p,q)$ -Kirchhoff elliptic system with the Dirichlet boundary conditions and ...
Zhangyi Yu, Junping Xie, Xingyong Zhang
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Time‐inconsistent contract theory
Abstract This paper investigates the moral hazard problem in finite horizon with both continuous and lump‐sum payments, involving a time‐inconsistent sophisticated agent and a standard utility maximizer principal: Building upon the so‐called dynamic programming approach in Cvitanić et al.
Camilo Hernández, Dylan Possamaï
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