Results 111 to 120 of about 1,231,124 (145)
Existence and multiplicity of solutions to triharmonic problems
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
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On the weak form of Ekeland's Variational Principle in quasi-metric spaces
E. Karapınar, S. Romaguera
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Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.
Kunisch K, Wang L.
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Ekeland's Variational Principle for Set-Valued Functions
C.-G. Liu, K. Ng
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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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General Ekeland's Variational Principle for Set-Valued Mappings
Guang-Ya Chen, X.-X. Huang, S. Hou
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An Ekeland's variational principle for set-valued mappings with applications
J. Zeng, S. Li
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On Ekeland's Variational Principle in Partial Metric Spaces [PDF]
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
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Ekeland’s variational principle for interval-valued functions
Computational and Applied Mathematics, 2021In 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
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Ekeland's Variational Principle and Caristi's Fixed Point Theorem
Journal of Geometry and Symmetry in Physics, 2022In 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
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