The normal derivative lemma and surrounding issues

DOI10.1070/RM10049zbMath1492.35001WikidataQ124802696 ScholiaQ124802696MaRDI QIDQ5088174

Darya E. Apushkinskaya, Alexander I. Nazarov

Publication date: 5 July 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

Harnack inequalitystrong maximum principleHopf-Oleinik lemmanormal derivative lemmaAleksandrov-Bakelman maximum principle

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05) Second-order elliptic equations (35J15) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (9)

Zvonkin’s transform and the regularity of solutions to double divergence form elliptic equations ⋮ Elliptic equations in Sobolev spaces with Morrey drift and the zeroth-order coefficients ⋮ Dirichlet fractional Laplacian in multi-tubes ⋮ Integral estimates of solutions to boundary values problems for the Poisson equation ⋮ Beyond the classical strong maximum principle: sign-changing forcing term and flat solutions ⋮ Regularity for a special case of two-phase Hele-Shaw flow via parabolic integro-differential equations ⋮ Boundary weak Harnack estimates and regularity for elliptic PDE in divergence form ⋮ Maximum estimates for solutions to elliptic and parabolic equations on a book-type stratified set ⋮ Solutions with various structures for semilinear equations in \(\mathbb{R}^n\) driven by fractional Laplacian

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