Time regularity and long-time behavior of parabolic \(p\)-Laplace equations on infinite graphs

DOI10.1016/j.jde.2015.07.018zbMath1323.39005arXiv1410.1584OpenAlexW1772134833MaRDI QIDQ496739

Bobo Hua, Delio Mugnolo

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1584

zbMATH Keywords

isoperimetric inequalitylong-time behaviorgradient systemsinifinite graphnonlinear semigroups generated by subdifferentialsoperators on graphsparabolic \(p\)-Laplace equationsparabolic equations with finite extinction time

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Infinite graphs (05C63) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (14)

Hemivariational inequalities on graphs ⋮ The generalized porous medium equation on graphs: existence and uniqueness of solutions with \(\ell^1\) data ⋮ General Cheeger inequalities for \(p\)-Laplacians on graphs ⋮ Sobolev-type inequalities and eigenvalue growth on graphs with finite measure ⋮ Existence and convergence of the least energy sign-changing solutions for nonlinear Kirchhoff equations on locally finite graphs ⋮ A non-local quasi-linear ground state representation and criticality theory ⋮ \(\psi\)-Li-Yau inequality for the \(p\)-Laplacian on weighted graphs with the \(CD_p^\psi (m, 0)\) curvature ⋮ Blow-up conditions for a semilinear parabolic system on locally finite graphs ⋮ Geometric functionals for the \(p\)-Laplace operator on the graph ⋮ The pth Kazdan–Warner equation on graphs ⋮ The existence of extremal functions for discrete Sobolev inequalities on lattice graphs ⋮ The Kazdan-Warner equation on canonically compactifiable graphs ⋮ NONTRIVIAL SOLUTION FOR A SECOND-ORDER BOUNDARY VALUE PROBLEM WITH p-LAPLACIAN AND PERTURBATION ⋮ Asymptotic estimates for the \(p\)-Laplacian on infinite graphs with decaying initial data

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