On the eigenvalues for a weighted p-Laplacian operator on metric graphs
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2018.1434630
Abstract: ABSTRACTWe provide an explicit upper bound of the eigenvalues corresponding to a weighted p-Laplacian operator defined on a connected metric graph with finite total length. read more here.
Keywords: operator metric; laplacian operator; eigenvalues weighted; metric graphs ... See more keywords
Synchronization of Identical Oscillators Under Matrix-Weighted Laplacian With Sampled Data
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DOI: 10.1109/tnse.2020.3029037
Abstract: In this paper, we study the synchronization problem of identical oscillators interacting via matrix-weighted couplings under both undirected and directed graph topologies. In contrast to the existing mechanism which makes use of the instantaneous and… read more here.
Keywords: weighted laplacian; sampled data; matrix weighted; synchronization identical ... See more keywords
Monotonicity formulas for the first eigenvalue of the weighted p-Laplacian under the Ricci-harmonic flow
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DOI: 10.1186/s13660-019-1961-6
Abstract: Let Δp,ϕ$\Delta _{p,\phi }$ be the weighted p-Laplacian defined on a smooth metric measure space. We study the evolution and monotonicity formulas for the first eigenvalue, λ1=λ(Δp,ϕ)$\lambda _{1}=\lambda (\Delta _{p,\phi })$, of Δp,ϕ$\Delta _{p,\phi }$… read more here.
Keywords: weighted laplacian; first eigenvalue; formulas first; monotonicity formulas ... See more keywords
On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02322-y
Abstract: This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow. It… read more here.
Keywords: harmonic flow; spectrum weighted; weighted laplacian; ricci harmonic ... See more keywords