Variational calculation of the period of nonlinear oscillators
The problem of calculating the period of second order nonlinear autonomous oscillators is formulated as an eigenvalue problem. We show that the period can be obtained from two integral variational principles dual to each other.
Benguria, R. D., Depassier, M. C.
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Parametric Ekeland's variational principle
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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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Ekeland Variational Principle in the Variable Exponent Sequence Spaces ℓp(·)
In this work , we investigate the modular version of the Ekeland variational principle (EVP) in the context of variable exponent sequence spaces ℓ p ( · ) . The core obstacle in the development of a modular version of the EVP is the failure
Monther R. Alfuraidan +1 more
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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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The brezis-ekeland-nayroles minimization principle with mixed finite element method for elastoplastic dynamic problems [PDF]
We propose a modification of the Hamiltonian formalism which can be used for dissipative systems, the Brezis-Ekeland-Nayroles principle. The formalism is specialized to the standard plasticity in small strains and dynamics.
Cao, X. +5 more
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Transversality Properties: Primal Sufficient Conditions
The paper studies 'good arrangements' (transversality properties) of collections of sets in a normed vector space near a given point in their intersection.
Cuong, Nguyen Duy, Kruger, Alexander Y.
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Multiple positive solutions for Schrödinger problems with concave and convex nonlinearities
In this paper, we consider the multiplicity of positive solutions for a class of Schrödinger equations involving concave-convex nonlinearities in the whole space.
Xiaofei Cao, Junxiang Xu
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Optimal sampled-data control, and generalizations on time scales [PDF]
In this paper, we derive a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. Our framework is actually much more general, and we treat optimal control problems for which the state ...
Bourdin, Loïc, Trélat, Emmanuel
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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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