Dirichlet \(p\)-Laplacian eigenvalues and Cheeger constants on symmetric graphs

DOI10.1016/j.aim.2020.106997zbMath1454.35247arXiv1812.09667OpenAlexW3003472016MaRDI QIDQ2302231

Yanyan Li

Publication date: 25 February 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09667

zbMATH Keywords

symmetric graphsCheeger constantsDirichlet \(p\)-Laplacian

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (10)

Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs ⋮ Nonexistence of global solutions for a class of nonlinear parabolic equations on graphs ⋮ Geometric and spectral properties of directed graphs under a lower Ricci curvature bound ⋮ Nodal domain theorems for \(p\)-Laplacians on signed graphs ⋮ Nodal domain count for the generalized graph \(p\)-Laplacian ⋮ Existence of solutions for nonlinear biharmonic Choquard equations on weighted lattice graphs ⋮ The existence of extremal functions for discrete Sobolev inequalities on lattice graphs ⋮ Eigenvalue estimates of the \(p\)-Laplacian on finite graphs ⋮ The limit of first eigenfunctions of the \(p\)-Laplacian on graphs ⋮ Delta invariant for Eulerian digraphs

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