Results 91 to 100 of about 359 (156)

Existence and multiplicity of weak solutions for a class of degenerate nonlinear elliptic equations

Boundary Value Problems, 2006
The goal of this paper is to study the existence and the multiplicity of non-trivial weak solutions for some degenerate nonlinear elliptic equations on the whole space RN. The solutions will be obtained in a subspace of the Sobolev space W1/p(RN).
Mihai Mihăilescu
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Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity in R3

Abstract and Applied Analysis, 2014
We study the following nonhomogeneous Kirchhoff equation: -(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x),  x∈R3,  u∈H1(R3),  u>0,  x∈R3, where f is asymptotically linear with respect to t at infinity.
Ling Ding, Lin Li, Jin-Ling Zhang
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A Set-Valued Ekeland's Variational Principle in Vector Optimization

SIAM Journal on Control and Optimization, 2008
This paper deals with Ekeland's variational principle for vector optimization problems. By using a set-valued metric, a set-valued perturbed map, and a cone-boundedness concept based on scalarization, we introduce an original approach to extending the well-known scalar Ekeland's principle to vector-valued maps.
César Gutiérrez, Bienvenido Jiménez, Vicente Novo   +2 more
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An order drop theorem

Le Matematiche, 2006
A drop theorem on ordered metric spaces is established from the (pre) order version of Ekeland’s variational principle in Turinici [An St UAIC Ia (Math), 36 (1990), 329-352]. The logical equivalence between these results is also discussed.
Mihai Turinici
doaj  

Ekeland's principle and nuclear cones: A geometrical aspect

Mathematical and Computer Modelling, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Existence of Cone Critical Point and Common Fixed Point with Applications

Journal of Applied Mathematics, 2011
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem ...
Wei-Shih Du
doaj   +1 more source

A maximum principle for nonsmooth optimal-control problems with state constraints

, 1982
Optimality conditions are derived in the form of a maximum principle governing solutions to an optimal control problem which involves state constraints.
Vinter, R.B, Pappas, G
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O Teorema da aplicação inversa de Ekeland em espaços de Fréchet [PDF]

, 2022
In this work, we study the Ekeland's inverse function theorem in Fr echet spaces, that was published by Ekeland [8] in 2011. Initially, we present an inverse function theorem in Banach spaces (that is more general than the classical inverse function ...
Maia, Joémerson de Oliveira
core  

From Quasi-variational Inclusion Problems to Stampacchia Vector Quasi-equilibrium Problems ,Stampacchia Set-valued Vector Ekeland's Variational Principle and Caristi's Fixed Point Theorem

, 2011
[[abstract]]In this paper, we first study existence theorems of solution for quasivariational inclusion problems. We apply existence theorems of solution for quasivariational inclusion problem to study the existence theorems of solution for the ...
Lai-Jiu Lin; Chih sheng Chuang; Sung- Yu Wang
core  

Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

, 1999
International audienceIn this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle.
Bergounioux, Maïtine, Zidani, Housnaa
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