Results 21 to 30 of about 47,755,022 (293)
On Henig Regularization of State-Constrained Optimal Control Problem for the p-Laplace Equation
We study a Dirichlet optimal control problem for a quasilinear monotone p-Laplace equation with control and state constraints. The coefficient of the p-Laplacian, the weight u, we take as a control in L1(Ω).
P. I. Kogut, O. P. Kupenko
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Existence results for elliptic equations
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CASO, Loredana +2 more
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Periodic impulsive fractional differential equations
This paper deals with the existence of periodic solutions of fractional differential equations with periodic impulses. The first part of the paper is devoted to the uniqueness, existence and asymptotic stability results for periodic solutions of ...
Fečkan Michal, Wang Jin Rong
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On relaxation of state-constrained optimal control problem in coefficients for biharmonic equation
We study a Dirichlet optimal control problem for biharmonic equation withcontrol and state constraints. The coecient of the biharmonic operator, the weightu, we take as a control in L1(Ω).
P. I. Kogut, L. V. Voloshko
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An Existence Result for Optimal Obstacles
In the paper the optimization problem: \(\min \{F(g): g \in X(\Omega)\}\) is considered. The cost functional \(F(g)\) usually represents a variational energy associated to obstacle \(g\) which in turn belongs to the class of admissible obstacles defined as \[ X(\Omega) = \Biggl\{g: \Omega \to \mathbb R: g \leq \psi \;\text{ on} \Omega, \int_{\Omega}g ...
BUCUR D. +2 more
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Applying coincidence degree theory of Mawhin, this paper is concerned with existence result for a coupled fractional differential systems with Riemann-Stieltjes integral boundary value conditions. An example is also given to illustrate the main result. c
Tingting Qi, Yansheng Liu, Y. Zou
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A general existence result for the Toda system on compact surfaces [PDF]
In this paper we consider the following Toda system of equations on a compact surface: {−Δu1=2ρ1(h1eu1∫Σh1eu1dVg−1)−ρ2(h2eu2∫Σh2eu2dVg−1)−Δu1=−4π∑j=1mα1,j(δpj−1),−Δu2=2ρ2(h2eu2∫Σh2eu2dVg−1)−ρ1(h1eu1∫Σh1eu1dVg−1)−Δu2=−4π∑j=1mα2,j(δpj−1), which is ...
Luca Battaglia +3 more
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An existence result for the mean-field equation on compact surfaces in a doubly supercritical regime [PDF]
We consider a class of variational equations with exponential nonlinearities on a compact Riemannian surface, describing the mean-field equation of the equilibrium turbulence with arbitrarily signed vortices.
Aleks Jevnikar
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We study a Dirichlet optimal control problem for a nonlinear elliptic anisotropic p-Laplace equation with control and state constraints. The matrix-valued coecients we take as controls and in the linear part of dierential operator we consider coecients ...
O. P. Kupenko
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(3,6) GWhD(v)—existence results
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Abel, R.J.R. +2 more
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