Results 71 to 80 of about 486 (163)
Recent developments in vector optimization [PDF]
, 2011 Lee, Hon Leung."August 2011."Thesis (M.Phil.)--Chinese University of Hong Kong, 2011.Includes bibliographical references (leaves 98-101) and index.Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.6Chapter 2 --- Preliminaries --- p ...
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Gauge Brezis-Browder Principles and Dependent Choice [PDF]
, 2013 The gauge Brezis-Browder Principle in Turinici [Bull. Acad. Pol. Sci. (Math.), 30 (1982), 161-166] is obtainable from the Principle of Dependent Choices (DC) and implies Ekeland's Variational Principle (EVP); hence, it is equivalent with both (DC) and ...
Turinici, Mihai
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Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities
Electronic Journal of Differential Equations, 2017 In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
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Partial Differential Inclusions Governing Feedback Controls [PDF]
, 1990 The authors derive partial differential inclusions of hyperbolic type, the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. They show that the tracking property, another important control problem,
Aubin, J.-P., Frankowska, H.
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Maximum principle for delayed stochastic mean-field control problem with state constraint
Advances in Difference Equations, 2019 In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
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On the Steklov problem involving the p(x)-Laplacian with indefinite weight [PDF]
Opuscula Mathematica, 2017 Under suitable assumptions, we study the existence of a weak nontrivial solution for the following Steklov problem involving the \(p(x)\)-Laplacian \[\begin{cases}\Delta_{p(x)}u=a(x)|u|^{p(x)-2}u \quad \text{in }\Omega, \\ |\nabla u|^{p(x)-2}\frac ...
Khaled Ben Ali +2 more
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Ekeland's variational principle for vector optimization with variable ordering structure [PDF]
, 2014 There are many generalizations of Ekeland's variational principle for vector optimization problems with fixed ordering structures, i.e., ordering cones.
Eichfelder, Gabriele +3 more
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Some eigenvalue problems involving the (p(x),q(x))-Laplacian
, 2022 In this work, we are concerned with a Robin and Neumann problem with (p(x),q(x))-Laplacian. Under some appropriate conditions on the data involved in the elliptic problem, we prove the existence of solutions applying two versions of Mountain Pass theorem,
Apaza, Juan Alcon
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A generalization of Ekeland's variational principle with applications
Electronic Journal of Differential Equations, 2006 In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
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The Strong Ekeland Variational Principle in Quasi-Pseudometric Spaces
Mathematics, 2023 Roughly speaking, Ekeland’s Variational Principle (EkVP) (J. Math. Anal. Appl. 47 (1974), 324–353) asserts the existence of strict minima of some perturbed versions of lower semicontinuous functions defined on a complete metric space. Later, Pando Georgiev (J. Math. Anal. Appl. 131 (1988), no. 1, 1–21) and Tomonari Suzuki (J. Math. Anal. Appl.
openaire +3 more sources