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