Results 41 to 50 of about 2,802 (159)

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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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, Repovš, Dušan D., Rădulescu, Vicenţiu D.   +2 more
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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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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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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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New Periodic Solutions of Singular Hamiltonian Systems with Fixed Energies [PDF]

, 2014
By using the variational minimizing method with a special constraint and the direct variational minimizing method without constraint, we study second order Hamiltonian systems with a singular potential $V\in C^2(R^n\backslash O,R)$ and $V\in C^1(R^2 ...
Hua, Qingqing, Li, Fengying, Zhang, Shiqing   +2 more
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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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Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation

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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An existence result for a Robin problem involving $p(x)$-Kirchhoff-type equation with indefinite weight [PDF]

AUT Journal of Mathematics and Computing
This paper discusses the existence of at least two distinct nontrivial weak solutions for a class of $p(x)$-Kirchhoff-type equation plus an indefinite potential under Robin boundary condition.
Mehdi Latifi, Mohsen Alimohammady
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Ekeland variational principle on weighted graphs

Proceedings of the American Mathematical Society, 2019
In this work, we give a graphical version of the Ekeland variational principle which enables us to discover a new version of the Caristi fixed point theorem in weighted digraphs not necessarily generated by a partial order. Then we show that both graphical versions of the Ekeland variational principle and Caristi’s fixed point theorem are equivalent ...
Monther Alfuraidan, Mohamed Khamsi
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