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A
counterexample to the Hopf–Oleinik lemma (elliptic case)
Darya E. Apushkinskaya and Alexander I. Nazarov |
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Vol. 9 (2016), No. 2, 439–458
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Abstract |
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We construct a new counterexample to the Hopf–Oleinik boundary point lemma. It shows that for convex domains, the assumption on is the necessary and sufficient condition providing the estimates of Hopf–Oleinik type. |
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Dedicated to Professor M.V. Safonov |
Keywords
elliptic equations, Hopf–Oleinik lemma, Dini continuity,
counterexample
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Mathematical Subject Classification 2010
Primary: 35J15, 35B45
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Milestones
Received: 2 April 2015
Revised: 29 September 2015
Accepted: 16 December 2015
Published: 24 March 2016
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Authors |
| Darya E. Apushkinskaya | |
| Department of Mathematics Saarland University P.O. Box 151150 Saarbrücken 66041 Germany |
St. Petersburg State
University 7/9 Universitetskaya nab. St. Petersburg 199034 Russia |
| Alexander I. Nazarov | |
| St. Petersburg Department Steklov Institute Fontanka 27 St. Petersburg 191023 Russia |
St. Petersburg State
University 7/9 Universitetskaya nab. St. Petersburg 199034 Russia |
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