Results 1 to 10 of about 328 (95)
Bounded perturbation resilience of extragradient-type methods and their applications. [PDF]
J Inequal Appl, 2017 In this paper we study the bounded perturbation resilience of the extragradient and the subgradient extragradient methods for solving variational inequality (VI) problem in real Hilbert spaces. This is an important property of algorithms which guarantees
Dong QL, Gibali A, Jiang D, Tang Y.
europepmc +3 more sources
A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
Advances in Nonlinear Analysis, 2017 In this paper, we consider the following critical nonlocal problem:
Fiscella Alessio
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Asymptotically linear magnetic fractional problems [PDF]
arXiv, 2023 The aim of this paper is investigating the existence and multiplicity of weak solutions to non--local equations involving the {\em magnetic fractional Laplacian}, when the nonlinearity is subcritical and asymptotically linear at infinity. We prove existence and multiplicity results by using variational tools, extending to the magnetic local and non ...
Bartolo, Rossella +2 more
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đť‘šth roots of the identity operator and the geometry conjecture [PDF]
, 2021 In this paper, we give three different new proofs of the validity of the geometry conjecture about cycles of projections onto nonempty closed, convex subsets of a Hilbert space.
S. Simons
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Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems
Advanced Nonlinear Studies, 2022 In the present article, we study multiplicity of semi-classical solutions of a Yukawa-coupled massive Dirac-Klein-Gordon system with the general nonlinear self-coupling, which is either subcritical or critical growth.
Ding Yanheng, Yu Yuanyang, Dong Xiaojing
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Open Mathematics, 2023 The main purpose is to establish the variational structure of a fourth-order ordinary differential system with both instantaneous and non-instantaneous impulses.
Xia Minggang +2 more
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International Journal of Apllied Mathematics, 2020 The existence of infinitely many solutions of Dirichlet’s problem for p-Laplacian ordinary differential equation of second order is studied in the paper. The variational method is applied using the symmetric mountain pass theorem.
G. Tcvetkova, S. Tersian
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Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems
Open Mathematics, 2022 In this article, we use the Nehari manifold method to study a class of fourth-order even difference systems. First, we show that there exist multiple periodic solutions to the non-autonomous system.
Ling Rumin +3 more
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The concentration-compactness principles for Ws,p(·,·)(ℝN) and application
Advances in Nonlinear Analysis, 2020 We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
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Demonstratio Mathematica, 2022 This paper presents some variants of minimal point theorem together with corresponding variants of Ekeland variational principle. In the second part of this article, there is a discussion on Ekeland variational principle and minimal point theorem ...
Meghea Irina, Stamin Cristina Stefania
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