On the Boundary Point Principle for divergence-type equations

We provide some versions of the Zaremba-Hopf-Oleinik boundary point lemma for general elliptic and parabolic equations in divergence form under the sharp requirements on the coefficients of equations and on the boundaries of domains.

Authors
Apushkinskaya D.E. 1, 2, 3 , Nazarov A.I.4, 5
Publisher
European Mathematical Society Publishing House
Number of issue
4
Language
English
Pages
677-699
Status
Published
Volume
30
Year
2019
Organizations
  • 1 Saarland Univ, Fac Math & Comp Sci, POB 151150, D-66041 Saarbrucken, Germany
  • 2 RUDN Univ, Peoples Friendship Univ Russia, SM Nikolskii Math Inst, 6 Miklukho Maklaya St, Moscow 117198, Russia
  • 3 St Petersburg State Univ, Chebyshev Lab, 14th Line VO 29B, St Petersburg 199178, Russia
  • 4 St Petersburg Dept Steklov Inst, Fontanka 27, St Petersburg 191023, Russia
  • 5 St Petersburg State Univ, Fac Math & Mech, Univ Skii Pr 28, St Petersburg 198504, Russia
Keywords
Hopf-Oleinik lemma; divergence-type equations; Dini continuity; Kato class
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