Results 31 to 40 of about 76,666 (170)
Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]
, 2016 We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo +2 more
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A solution to a fractional order semilinear equation using variational method
Mathematics in Applied Sciences and Engineering, 2020 We will discuss how we obtain a solution to a semilinear pseudo-differential equation involving fractional power of laplacian by using a method analogous to the direct method of calculus of variations.
Ramesh Karki, Young Hwan You
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Lagrange coordinates for the Einstein-Euler equations
, 2012 We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations.
Oliynyk, Todd A.
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Hamilton’s Principle with Variable Order Fractional Derivatives [PDF]
, 2011 MSC 2010: 26A33, 70H25, 46F12, 34K37 Dedicated to 80-th birthday of Prof. Rudolf GorenfloWe propose a generalization of Hamilton’s principle in which the minimization is performed with respect to the admissible functions and the order of the derivation ...
Atanackovic, Teodor, Pilipovic, Stevan
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Generalized Stability of Euler-Lagrange Quadratic Functional Equation
Abstract and Applied Analysis, 2012 The main goal of this paper is the investigation of the general solution and the generalized Hyers-Ulam stability theorem of the following Euler-Lagrange type quadratic functional equation f(ax+by)+af(x-by)=(a+1)b2f(y)+a(a+1)f(x), in (β,p)-Banach space ...
Hark-Mahn Kim, Min-Young Kim
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Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
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Advanced Nonlinear Studies, 2020 We prove the existence of extremals for fractional Moser–Trudinger inequalities in an interval and on the whole real line. In both cases we use blow-up analysis for the corresponding Euler–Lagrange equation, which requires new sharp estimates obtained ...
Mancini Gabriele, Martinazzi Luca
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A Novel Variational Principle in Electrostatics and its Consequences
, 2013 We propose a novel variational principle in electrostatics and show that one can derive mirror equation in the context of image problem starting from this principle.
Bhattacharya, Kolahal
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Théorème de Noether stochastique [PDF]
, 2005 4 pagesThe stochastic embedding procedure associates a stochastic Euler-Lagrange equation (SEL) to the standard Euler-Lagrange equation (EL). Can we derive (SEL) from a generalized least action principle? To address this question, we develop a stochastic
Cresson, Jacky, Darses, Sébastien
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An obstacle problem for a class of Monge-Amp\`ere type functionals
, 2012 In this paper we study an obstacle problem for Monge-Amp\`ere type functionals, whose Euler-Lagrange equations are a class of fourth order equations, including the affine maximal surface equations and Abreu's ...
Liu, Jiakun, Zhou, Bin
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