Results 1 to 10 of about 66 (65)

Duality in nondifferentiable minimax fractional programming with B-(p, r)-invexity

open access: yesJournal of Inequalities and Applications, 2011
In this article, we are concerned with a nondifferentiable minimax fractional programming problem. We derive the sufficient condition for an optimal solution to the problem and then establish weak, strong, and strict converse duality theorems for the ...
Kailey N   +3 more
doaj   +1 more source

Multiplicity and concentration of semi-classical solutions to nonlinear Dirac-Klein-Gordon systems

open access: yesAdvanced 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
doaj   +1 more source

Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems

open access: yesOpen 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
doaj   +1 more source

Small perturbations of critical nonlocal equations with variable exponents

open access: yesDemonstratio Mathematica, 2023
In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
doaj   +1 more source

Remarks on some variants of minimal point theorem and Ekeland variational principle with applications

open access: yesDemonstratio 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
doaj   +1 more source

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

open access: yesAdvances 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
doaj   +1 more source

Multiplicity theorems involving functions with non-convex range

open access: yes, 2023
Here is a sample of the results proved in this paper. Mathematics Subject Classification (2010): 49J35, 34B10, 41A50, 41A55, 90C26. Received 03 May 2022; Revised 09 September 2022. Published Online: 2023-03-20.
RICCERI, Biagio, Biagio Ricceri
core   +1 more source

Existence and multiplicity of solutions for a fourth-order differential system with instantaneous and non-instantaneous impulses

open access: yesOpen 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
doaj   +1 more source

On the fractional p-Laplacian equations with weight and general datum

open access: yesAdvances in Nonlinear Analysis, 2016
The aim of this paper is to study the following problem:
Abdellaoui Boumediene   +2 more
doaj   +1 more source

Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2014
We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are ...
Sato Yohei, Shibata Masataka
doaj   +1 more source

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