Results 61 to 70 of about 1,156,553 (130)

Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities

Electronic Journal of Differential Equations, 2017
In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
doaj  

Multiple positive solutions for nonhomogeneous Schrodinger-Poisson systems with Berestycki-Lions type conditions

Electronic Journal of Differential Equations, 2021
In this article, we consider the multiplicity of solutions for nonhomogeneous Schrodinger-Poisson systems under the Berestycki-Lions type conditions.
Lan-Xin Huang, Xing-Ping Wu, Chun-Lei Tang   +2 more
doaj  

Maximum principle for delayed stochastic mean-field control problem with state constraint

Advances in Difference Equations, 2019
In this paper, we consider the optimal control problem for the mean-field stochastic differential equations with delay and state constraint. By virtue of the classical Ekeland’s variational principle, the duality method and a new type of mean-field ...
Li Chen, Jiandong Wang
doaj   +1 more source

Well-posed Vector Optimization Problems and Vector Variational Inequalities [PDF]

In this paper we introduce notions of well-posedness for a vector optimization problem and for a vector variational inequality of differential type, we study their basic properties and we establish the links among them.
Rocca Matteo
core  

A generalization of Ekeland's variational principle with applications

Electronic Journal of Differential Equations, 2006
In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition.
Abdel R. El Amrouss, Najib Tsouli
doaj  

Eigenvalues for a Neumann Boundary Problem Involving the p(x)-Laplacian

Advances in Mathematical Physics, 2015
We study the existence of weak solutions to the following Neumann problem involving the p(x)-Laplacian operator:  -Δp(x)u+e(x)|u|p(x)-2u=λa(x)f(u), in  Ω, ∂u/∂ν=0, on  ∂Ω.
Qing Miao
doaj   +1 more source

Existence Theorems for Variational Inclusion Problems and the Set-valued Vector Ekeland Variational Principle in a Complete Metric Space

, 2011
[[abstract]]In this paper, we apply an existence theorem for the variational inclusion problem to study the existence results for the variational intersection problems in Ekeland’s sense and the existence results for some variants of set-valued vector ...
Lin Lai-Jiu; Chih-Sheng Chuan
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Versions of Ekeland’s variational principle involving set perturbations

We consider Ekeland’s variational principle for multivalued maps. Instead of dealing with directional perturbations in a direction of the positive cone of the image space, we perturb the map under question by a convex subset of the positive cone to get ...
Dinh Quy, Phan Khanh
core   +1 more source

On generalized Ekeland’s variational principle and equivalent formulations for set-valued mappings

Locally convex spaces, Weak τ-functions, Ekeland’s variational principle, K-lower semicontinity from above, Lower closedness,
P. Khanh, D. Quy
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On the Ekeland variational principle

, 2011
For proper lower semicontinuous functionals bounded from below which do not increase upon polarization, an improved version of Ekeland’s variational principle can be formulated in Banach spaces, which provides almost symmetric ...
Squassina, Marco, Marco Squassina
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