Results 31 to 40 of about 1,268 (110)

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
core   +2 more sources

Existence for Elliptic Equation Involving Decaying Cylindrical Potentials with Subcritical and Critical Exponent

International Journal of Differential Equations, 2015
We consider the existence of nontrivial solutions to elliptic equations with decaying cylindrical potentials and subcritical exponent. We will obtain a local minimizer by using Ekeland’s variational principle.
Mohammed El Mokhtar Ould El Mokhtar
doaj   +1 more source

Critical point result of Schechter type in a Banach space

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Using Ekeland's variational principle we give a critical point theorem of Schechter type for extrema on a sublevel set in a Banach space. This result can be applied to localize the solutions of PDEs which contain nonlinear homogeneous operators.
Hannelore Lisei, Orsolya Vas
doaj   +1 more source

A minimization theorem in quasi-metric spaces and its applications

International Journal of Mathematics and Mathematical Sciences, 2002
We prove a new minimization theorem in quasi-metric spaces, which improves the results of Takahashi (1993). Further, this theorem is used to generalize Caristi's fixed point theorem and Ekeland's ϵ-variational principle.
Jeong Sheok Ume
doaj   +1 more source

Positive solution for a nonlocal problem with strong singular nonlinearity

Open Mathematics, 2023
In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue, Wei Wei, Xiong Zong-Hong, Yang Jian   +3 more
doaj   +1 more source

A maximum principle for controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal sate constraints

, 2012
In this paper, we study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal sate constraints.
Ji, Shaolin, Wei, Qingmeng, Zhang, Xiumin   +2 more
core   +2 more sources

Ekeland’s variational principle for interval-valued functions with an α-level set in Kaleva-Seikkala’s type fuzzy metric spaces

Demonstratio Mathematica
In this paper, we establish a new version of Ekeland’s variational principle in the setting of Kaleva-Seikkala’s type fuzzy metric spaces, where the objective function is an interval-valued function defined on a fuzzy metric space, and the perturbation ...
Liu Xuan, He Fei, Lu Ning
doaj   +1 more source

Nash-type equilibria and periodic solutions to nonvariational systems

Advances in Nonlinear Analysis, 2014
The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj   +1 more source

Multiple positive solutions for quasilinear elliptic problems with combined critical Sobolev–Hardy terms

Boundary Value Problems, 2019
In this paper, we investigate the quasilinear elliptic equations involving multiple critical Sobolev–Hardy terms with Dirichlet boundary conditions on bounded smooth domains  Ω⊂RN $\varOmega \subset R^{N}$ ( N≥3 ${N \ge 3} $), and prove the multiplicity ...
Yuanyuan Li
doaj   +1 more source

Subdifferential Test for Optimality

, 2013
We provide a first-order necessary and sufficient condition for optimality of lower semicontinuous functions on Banach spaces using the concept of subdifferential.
Jules, Florence, Lassonde, Marc
core   +3 more sources