Results 41 to 50 of about 2,807 (153)
Localization of Nash-type equilibria for systems with partial variational structure
Journal of Numerical Analysis and Approximation Theory, 2023 In this paper, we aim to generalize an existing result by obtaining localized solutions within bounded convex sets, while also relaxing specific initial assumptions.
Andrei Stan
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About [q]-regularity properties of collections of sets [PDF]
, 2014 We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as well as their quantitative characterizations.
Kruger, Alexander Y., Thao, Nguyen H.
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Nonlocal Kirchhoff superlinear equations with indefinite nonlinearity and lack of compactness
, 2019 We study the following Kirchhoff equation $$- \left(1 + b \int_{\mathbb{R}^3} |\nabla u|^2 dx \right) \Delta u + V(x) u = f(x,u), \ x \in \mathbb{R}^3.$$ A special feature of this paper is that the nonlinearity $f$ and the potential $V$ are indefinite ...
Li, Lin +2 more
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Nonlinear Versions of a Vector Maximal Principle [PDF]
, 2011 Some nonlinear extensions of the vector maximality statement established by Goepfert, Tammer and Zalinescu [Nonl. Anal., 39 (2000), 909-922] are given. Basic instruments for these are the Brezis-Browder ordering principle [Advances Math., 21 (1976), 355 ...
Turinici, Mihai
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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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Combined effects of concave and convex nonlinearities in nonperiodic fourth-order equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper, we consider the multiplicity of nontrivial solutions for a class of nonperiodic fourth-order equation with concave and convex nonlinearities.
Ruiting Jiang, Chengbo Zhai
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An induction theorem and nonlinear regularity models [PDF]
, 2015 A general nonlinear regularity model for a set-valued mapping $F:X\times R_+\rightrightarrows Y$, where $X$ and $Y$ are metric spaces, is considered using special iteration procedures, going back to Banach, Schauder, Lusternik and Graves.
Khanh, Phan Q. +2 more
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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 ...
Wei-Shih Du
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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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Abstract and Applied Analysis, 2014 In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions ...
Liu Yang
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