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Existence of normalized solutions to Kirchhoff-Boussinesq equations in the subcritical and supercritical regime

Electronic Journal of Differential Equations
In this article we study the existence of normalized solutions to the Kirchhoff-Boussinesq equation under the mass constraint $\|u\|_{2}=c$. In the $L^{2}$-subcritical regime, we apply Ekeland's variational principle and concentration compactness method ...
Chunling Tao, Lintao Liu, Kaimin Teng
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Ekeland's variational principle in vecter optimization

Ekeland's variational principle in vecter optimization
新潟大学 平成20年3月24日 新大院博（理）第292号 新大院博（理 ...
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A strong vectorial Ekeland's variational principle

, 2007
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Exponential Dichotomies by Ekeland’s Variational Principle

Journal of Dynamics and Differential Equations, 2020
Exponential dichotomy, which is a type of hyperbolicity in the context of linear time-varying systems, is the central focus of this paper. First, two well known characterizations of the exponential dichotomy in \(\mathbb{R}^+\) are presented: \begin{itemize} \item [(i)] If the system \(\dot{v}=A(t)v+f(t)\) in \(\mathbb{R}^N\), admits a bounded solution
Juan Campos, Massimo Tarallo
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Ekeland Variational Principles in Vector Equilibrium Problems

SIAM Journal on Optimization, 2017
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César Gutiérrez, Gábor Kassay, Vicente Novo, Juan Luis Ródenas-Pedregosa   +3 more
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Ekeland Variational Principle

2014
In this chapter we present existence results for minimal points of subsets of the Cartesian product of a complete metric space and a topological vector space with respect to order relations determined by generalized set-valued metrics; such results are useful for deriving EVP type results for vector and scalar functions.
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu   +2 more
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On Ekeland's Variational Principle for Set-Valued Mappings

Acta Mathematicae Applicatae Sinica, English Series, 2007
Let \(X\) be a complect metric space and \(E\) be an ordered Hausdorff topological vector space. In this paper for new classes of set valued mappings \(F:X \rightarrow 2^{E}\) the vector Ekeland's variation principle is proved.
Li, Sheng-Jie, Zhang, Wen-Yan
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On generalizations of the Ekeland-type variational principles

Nonlinear Analysis: Theory, Methods & Applications, 2000
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Vector Ekeland Variational Principle

2000
In this paper the well-known Ekeland variational principle is generalized to the case where vector-valued functions are involved. Namely, vector Ekeland variational principle is studied. In particular, the epsilon vector minimum point of a vector optimization problem is investigated via vector Ekeland variational principle.
Shen Jie Li, Xiao Qi Yang, Guang-ya Chen
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Ekeland’s variational principle with weighted set order relations

Mathematical Methods of Operations Research, 2019
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Qamrul Hasan Ansari, Andreas H. Hamel, Pradeep Kumar Sharma   +2 more
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