Results 61 to 70 of about 289,841 (186)

Optimization problems involving Poisson's equation in R^3

open access: yesElectronic Journal of Differential Equations, 2011
In this article, we prove the existence of minimizers for integrals associated with a second-order elliptic problem. For this three-dimensional optimization problem, the admissible set is a rearrangement class of a given function.
Fariba Bahrami, Hossain Fazli
doaj  

Variational Lie derivative and cohomology classes

open access: yes, 2011
We relate cohomology defined by a system of local Lagrangian with the cohomology class of the system of local variational Lie derivative, which is in turn a local variational problem; we show that the latter cohomology class is zero, since the ...
Palese, Marcella, Winterroth, Ekkehart
core   +1 more source

Comments on the paper 'Static solutions of the Vlasov-Einstein system' by G. Wolansky

open access: yes, 2018
In this note we address the attempted proof of the existence of static solutions to the Einstein-Vlasov system as given in \cite{Wol}. We focus on a specific and central part of the proof which concerns a variational problem with an obstacle.
Andréasson, Håkan, Kunze, Markus
core   +1 more source

Black Box Variational Inference [PDF]

open access: yes, 2013
Variational inference has become a widely used method to approximate posteriors in complex latent variables models. However, deriving a variational inference algorithm generally requires significant model-specific analysis, and these efforts can hinder ...
Blei, David M.   +2 more
core   +2 more sources

Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

open access: yesJournal of Inequalities and Applications, 2020
In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing
Iqbal Ahmad   +3 more
doaj   +1 more source

Optimal control of unilateral obstacle problem with a source term

open access: yes, 2008
We consider an optimal control problem for the obstacle problem with an elliptic variational inequality. The obstacle function which is the control function is assumed in $H^{2}$. We use an approximate technique to introduce a family of problems governed
Ghanem, Radouen
core  

HYPERELLIPTIC INTEGRALS AND SPECIAL FUNCTIONS FOR THE SPATIAL VARIATIONAL PROBLEM

open access: yesПроблемы анализа
The study of the properties of special functions plays an important role in solving many problems in geometric function theory. We study the properties of hyperelliptic integrals and special functions, which definition includes a parameter that depends
B. E. Levitskii, A. S. Ignatenko
doaj   +1 more source

Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]

open access: yes
In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core  

Strong Convergence to a Solution of a Variational Inequality Problem in Banach Spaces

open access: yesJournal of Applied Mathematics, 2014
We consider the variational inequality problem for a family of operators of a nonempty closed convex subset of a 2-uniformly convex Banach space with a uniformly Gâteaux differentiable norm, into its dual space.
Yasunori Kimura, Kazuhide Nakajo
doaj   +1 more source

Analysis and control of a nonlinear boundary value problem

open access: yesNonlinear Analysis, 2017
We consider a nonlinear two-dimensional boundary value problem which models the frictional contact of a bar with a rigid obstacle. The weak formulation of the problem is in the form of an elliptic variational inequality of the second kind.
Hadjer Hechaichi, Mircea Sofonea
doaj   +1 more source

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