Results 111 to 120 of about 1,231,124 (145)

Existence and multiplicity of solutions to triharmonic problems

open access: yesElectronic Journal of Differential Equations
The authors consider the triharmonic equation $$ (-\Delta)^3u+c_1\Delta^2 u+c_2\Delta u=h(x)|u|^{p-2} u+g(x,u) $$ in $\Omega$, where $p\in(1,2)$, subject to Navier boundary conditions.
Qifan Wei, Xuemei Zhang
doaj  

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  

On Ekeland's Variational Principle in Partial Metric Spaces [PDF]

open access: yes, 2015
In this paper, lower semi-continuous functions are used to extend Ekeland's variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types.
H. Aydi, E. Karapınar, C. Vetro
semanticscholar   +3 more sources

Ekeland’s variational principle for interval-valued functions

Computational and Applied Mathematics, 2021
In this paper, we attempt to propose Ekeland’s variational principle for interval-valued functions (IVFs). To develop the variational principle, we study a concept of sequence of intervals.
Gourav Kumar, Debdas Ghosh
semanticscholar   +1 more source

Ekeland's Variational Principle and Caristi's Fixed Point Theorem

Journal of Geometry and Symmetry in Physics, 2022
In this short note we present a new proof of Ekeland's variational principle and Caristi's fixed point theorem using a recently proved constrained variational principle in completely regular topological spaces.
D. Kamburova, Rumen Marinov
semanticscholar   +1 more source

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