PARAMETRIC EKELAND'S VARIATIONAL PRINCIPLE AND APPLICATIONS FOR MIN-MAX PROBLEMS
, 1995 Ekeland's variational principle is now a classical method for investigations of many non-linear problems in various areas in mathematics (see for instance [El], [E2] for a survey).
Pando Gr. Georgiev, United Nations
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On the ϵ-variational principle for set-valued mappings
, 2007 In this paper, the well-known Ekeland variational principle is generalized to the case where set-valued mappings are involved. More specifically, the ϵ-efficient points of a vector optimization problem for set-valued mappings are investigated via a ...
Li, S.J.
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An extension of Ekeland's variational principle to locally complete spaces
, 2007 We prove an extension of Ekeland's variational principle to locally complete spaces which uses subadditive, strictly increasing continuous functions as perturbations. © 2006 Elsevier Inc. All rights reserved.
A García, C L García, C Bosch
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Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]
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
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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool. [PDF]
Heliyon, 2023 Maréchal M.
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Multiple solutions for a problem with resonance involving the p-Laplacian
Abstract and Applied Analysis, 1998 In this paper we will investigate the existence of multiple solutions for the problem (P) −Δpu+g(x,u)=λ1h(x)|u|p−2u, in Ω, u∈H01,p(Ω) where Δpu=div(|∇u|p−2∇u) is the p-Laplacian operator,
C. O. Alves +2 more
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Optimal control and cost-effective analysis of an age-structured emerging infectious disease model. [PDF]
Infect Dis Model, 2022 Jia P, Yang J, Li X.
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Nonlinear Analysis, 2019 The aim of the present paper is to establish a variational principle in metric spaces without assumption of completeness when the involved function is not lower semicontinuous.
Iram Iqbal, Nawab Hussain
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A consequence of Djairo’s Lectures on the Ekeland variational principle [PDF]
, 2017 In this paper we prove that if a functional has bounded minimum u, then is is possible, using Ekeland’s ε-variational principle, to build a minimizing sequence which is uniformly convergent to ...
Boccardo L., Orsina L.
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Multiple positive solutions for equations involving critical Sobolev exponent in R^N
Electronic Journal of Differential Equations, 1997 $$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions ...
Claudianor Oliveira Alves
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