Results 91 to 100 of about 486 (163)
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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Journal of Function Spaces, 2020 In this paper, we prove the multiplicity of nontrivial solutions for a class of fractional-order elliptic equation with magnetic field. Under appropriate assumptions, firstly, we prove that the system has at least two different solutions by applying the ...
Jianwen Zhou +2 more
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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.
Gutierrez, C., Jimenez, B., Novo, V.
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The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems [PDF]
, 1995 We characterize in this paper the epigraph of the value function of a discounted infinite horizon optimal control problem as the viability kernel of an auxiliary differential inclusion. Then the viability kernel algorithm applied to this problem provides
Aubin, J.-P., Frankowska, H.
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Topics in Banach spaces. [PDF]
, 1997 by Ho Wing Man.Thesis (M.Phil.)--Chinese University of Hong Kong, 1997.Includes bibliographical references (leaves 85).Introduction --- p.1Chapter 1 --- Preliminaries --- p.3Chapter 1.1 --- Gateaux and Frechet Differentiability --- p.4Chapter 1.2 ...
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On an eigenvalue problem with variable exponents and sign-changing potential
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper we study a non-homogeneous eigenvalue problem involving variable growth conditions and a sign-changing potential. We prove that any $\lambda>0$ sufficiently small is an eigenvalue of the nonhomogeneous eigenvalue problem \begin{equation ...
Bin Ge
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Minimax theorems on C1 manifolds via Ekeland variational principle [PDF]
Abstract and Applied Analysis, 2003 We prove two minimax principles to find almost critical points of C1 functionals restricted to globally defined C1 manifolds of codimension 1. The proof of the theorems relies on Ekeland variational principle.
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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
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Nonhomogeneous elliptic problems of Kirchhoff type involving critical Sobolev exponents
Electronic Journal of Differential Equations, 2015 This article concerns the existence and the multiplicity of solutions for nonhomogeneous elliptic Kirchhoff problems involving the critical Sobolev exponent, defined on a regular bounded domain of $\mathbb{R}^3$.
Safia Benmansour, Mohammed Bouchekif
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Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications
Fixed Point Theory and Applications, 2010 We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established by ...
Du Wei-Shih
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