Existence Theorems for a Crystal Surface Model Involving the $p$-Laplace Operator

DOI10.1137/17M1157908zbMath1398.35097arXiv1711.07405OpenAlexW2963866772MaRDI QIDQ3177740

Xiangsheng Xu

Publication date: 2 August 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07405

zbMATH Keywords

crystal surface modelexponential function of a \(p\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (8)

Strong solutions to a fourth order exponential PDE describing epitaxial growth ⋮ Partial regularity for an exponential PDE in crystal surface models ⋮ Analysis of a fourth-order exponential PDE arising from a crystal surface jump process with metropolis-type transition rates ⋮ Regularity and monotonicity for solutions to a continuum model of epitaxial growth with nonlocal elastic effects ⋮ Global strong solution with BV derivatives to singular solid-on-solid model with exponential nonlinearity ⋮ Exponential crystal relaxation model with \(p\)-Laplacian ⋮ Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects ⋮ Mathematical validation of a continuum model for relaxation of interacting steps in crystal surfaces in 2 space dimensions

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