Reilly-Type Inequalities for the First Eigenvalue of p-Laplacian of Submanifolds in Minkowski Spaces
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DOI: 10.1007/s00009-017-1005-8
Abstract: In this paper, we give an upper bound for the first eigenvalue of the p-Laplacian of Finsler submanifolds in Minkowski spaces. Our results extend those of Wu (Ann Glob Anal Geom 29:95–102, 2006), and Du… read more here.
Keywords: first eigenvalue; minkowski spaces; eigenvalue laplacian; reilly type ... See more keywords
The first eigenvalue and eigenfunction of a nonlinear elliptic system
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DOI: 10.1016/j.apnum.2019.06.004
Abstract: In this paper, we study the first eigenvalue of a nonlinear elliptic system involving $p$-Laplacian as the differential operator. The principal eigenvalue of the system and the corresponding eigenfunction are investigated both analytically and numerically.… read more here.
Keywords: elliptic system; system; first eigenvalue; eigenvalue eigenfunction ... See more keywords
The first eigenvalue for a quasilinear Schrödinger operator and its application
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DOI: 10.1080/00036811.2016.1274026
Abstract: In this paper, we study the first eigenvalue for a quasilinear Schrödinger operator, which is greater than the first eigenvalue of the usual laplacian operator. As an application we treat a quasilinear resonance problem involving… read more here.
Keywords: first eigenvalue; eigenvalue quasilinear; quasilinear schr; dinger operator ... 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