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