Results 21 to 30 of about 40,321 (314)
Geometry and topological photonics
Journal of Optics, 2023 Abstract Topological photonics provides a powerful framework to describe and understand many nontrivial wave phenomena in complex electromagnetic platforms. The topological index of a physical system is an abstract global property that depends on the family of operators that describes the propagation of Bloch waves.
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Nonautonomous Dynamical Systems, 2020 The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed +1 more
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Boundedness of Multidimensional Dunkl-Hausdorff Operators
Journal of Function Spaces, 2020 In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl ...
Radouan Daher, Faouaz Saadi
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An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Mathematics, 2019 Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process.
Raúl M. Falcón +2 more
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On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
Journal of High Energy Physics, 2023 Inflationary spacetimes have been argued to be past geodesically incomplete in many situations. However, whether the geodesic incompleteness implies the existence of an initial spacetime curvature singularity or whether the spacetime may be extended ...
Ghazal Geshnizjani +2 more
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Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, 2023 Given r0>0{r}_{0}\gt 0, I∈N∪{0}I\in {\mathbb{N}}\cup \left\{0\right\}, and K0,H0≥0{K}_{0},{H}_{0}\ge 0, let XX be a complete Riemannian 3-manifold with injectivity radius Inj(X)≥r0\hspace{0.1em}\text{Inj}\hspace{0.1em}\left(X)\ge {r}_{0} and with the ...
Meeks William H., Pérez Joaquín
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Advances in Difference Equations, 2021 The constant elasticity of substitution (CES for short) is a basic property widely used in some areas of economics that involves a system of second-order nonlinear partial differential equations.
Haila Alodan +3 more
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Coarse Geometry and Topological Phases [PDF]
Communications in Mathematical Physics, 2019 We propose the Roe C*-algebra from coarse geometry as a model for topological phases of disordered materials. We explain the robustness of this C*-algebra and formulate the bulk-edge correspondence in this framework. We describe the map from the K-theory of the group C*-algebra of Z^d to the K-theory of the Roe C*-algebra, both for real and complex K ...
Eske Ellen Ewert, Ralf Meyer
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Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants
Mathematics, 2022 One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds.
Bang-Yen Chen +2 more
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Geometry, Topology and Simplicial Synchronization
, 2022 32 pages, 10 ...
Millan, AP +3 more
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