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

open access: yesElectronic 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
doaj  

Equivalent formulations of Ekeland's variational principle

open access: closedNonlinear Analysis: Theory, Methods & Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zili Wu
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On Ekeland's Variational Principle for Set-Valued Mappings

open access: closedActa Mathematicae Applicatae Sinica, English Series, 2006
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.
Shengjie Li, Wenyan Zhang
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