A counterexample to the Hopf-Oleinik lemma (elliptic case)

DOI10.2140/apde.2016.9.439zbMath1354.35024arXiv1503.02179OpenAlexW2125778536WikidataQ124798602 ScholiaQ124798602MaRDI QIDQ298388

Darya E. Apushkinskaya, Alexander I. Nazarov

Publication date: 20 June 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02179

zbMATH Keywords

counterexampleelliptic equationsDini continuityHopf-Oleinik lemma

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

Related Items (12)

A note on boundary point principles for partial differential inequalities of elliptic type ⋮ On the Hopf-Oleinik lemma for degenerate-elliptic equations at characteristic points ⋮ A comparison theorem for nonsmooth nonlinear operators ⋮ Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function ⋮ The normal derivative lemma and surrounding issues ⋮ A note on boundary differentiability of solutions of elliptic equations in nondivergence form ⋮ Boundary Lipschitz regularity and the Hopf lemma for fully nonlinear elliptic equations ⋮ On the boundary estimates for second-order elliptic equations ⋮ On the boundary point principle for divergence-type equations ⋮ Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators ⋮ On the semiclassical spectrum of the Dirichlet-Pauli operator ⋮ Strict positivity for the principal eigenfunction of elliptic operators with various boundary conditions

This page was built for publication: A counterexample to the Hopf-Oleinik lemma (elliptic case)