A comparison theorem for nonsmooth nonlinear operators

DOI10.1007/S11118-020-09834-8zbMath1471.35159arXiv1901.08631OpenAlexW3012264751MaRDI QIDQ2660164

Yanyan Li

Publication date: 29 March 2021

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08631

zbMATH Keywords

strong maximum principleKato classessemi-linear elliptic equationVMO coefficientscomparison principalnon-smooth nonlinearity

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Comparison principles in context of PDEs (35B51)

Related Items (3)

Global Green's function estimates for the convection–diffusion equation ⋮ The normal derivative lemma and surrounding issues ⋮ Estimates of the fundamental solution for elliptic equation in divergence form with drift

Cites Work

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• A comparison theorem for super- and subsolutions of $\mathbf {\nabla ^2 u + f (u) = 0}$ and its application to water waves with vorticity

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