Results 41 to 50 of about 585 (200)
The Multiplicity of Nontrivial Solutions for a New px-Kirchhoff-Type Elliptic Problem
Journal of Function Spaces, 2021 In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a px-Laplacian operator. By using Ekeland’s variational principle and mountain pass theorem, we prove that the new px-Kirchhoff problem has at least two
Chang-Mu Chu, Yu-Xia Xiao
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High Order Inverse Function Theorems [PDF]
, 1988 We prove several first order and high order inverse mapping theorems for maps defined on a complete metric space and provide a number of ...
Frankowska, H.
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland's variational principle ...
Yang Yu, Yulin Zhao
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On Ekeland’s Variational Principle in Rectangular bmertic Spaces
Journal of Harbin University of Science and Technology, 2020 Ekeland′s variational principle plays an important role in fixed point theory. It has applications in many fields such as optimization theory, control theory, critical point theory and others.
HUANG Shuai, CHEN Lili, LIU Xin
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Exact and approximate vector Ekeland variational principles
Optimization, 2021 Producción ...
T. Q. Bao +3 more
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Maximum principle for near-optimality of stochastic delay control problem
Advances in Difference Equations, 2017 This paper is concerned with near-optimality for stochastic control problems of linear delay systems with convex control domain and controlled diffusion. Necessary and sufficient conditions for a control to be near-optimal are established by Pontryagin’s
Feng Zhang
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One remark to Ekeland's variational principle
Computers & Mathematics with Applications, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov, A., Bobylev, N., Korovin, S.
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International Journal of Differential Equations, 2015 We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.
Mohammed El Mokhtar Ould El Mokhtar
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Ekeland variational principles for vector equilibrium problems
Optimization, 2022 This work concerns Ekeland variational principles for scalar and vector cyclically antimonotone bifunctions on complete metric spaces. The scalar results work for extended bifunctions and they are obtained by a generalized version of the Dancs–Hegedüs–Medvegyev's fixed point theorem.
Bao, T. Q., Gutiérrez Vaquero, César
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A minimization theorem in quasi-metric spaces and its applications
International Journal of Mathematics and Mathematical Sciences, 2002 We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland's ϵ-variational principle.
Jeong Sheok Ume
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