Elliptic venttsel problems with VMO coefficients

— We announce new results about strong solvability of linear and quasilinear Venttsel boundary value problems with discontinuous principal coefficients. © 2020 European Mathematical Society Publishing House. All rights reserved.

Авторы
Apushkinskaya D.E. 1, 2, 3 , Nazarov A.I. 4, 5 , Palagachev D.K. 6 , Softova L.G. 7
Journal
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni
Издательство
European Mathematical Society Publishing House
Номер выпуска
2
Язык
English
Страницы
391-399
Статус
Published
Ссылка
Внешняя ссылка
DOI
10.4171/RLM/896
Том
31
Год
2020
Организации
  • 1 Faculty of Mathematics and Computer Science, Saarland University, P.O. Box 151150, Saarbrücken, 66041, Germany
  • 2 S.M. Nikol’skii Mathematical Institute Peoples’ Friendship, University of Russia (RUDN University), 6 Miklukho-Maklaya Str., Moscow, 117198, Russian Federation
  • 3 Chebyshev Laboratory, St. Petersburg State University, 14th Line V.O. 29B 199178, St. Petersburg, Russian Federation
  • 4 St. Petersburg Department of Steklov, Institute of Mathematics (PDMI RAS), 27 Fontanka 191023, St. Petersburg, Russian Federation
  • 5 Mathematics and Mechanics Faculty, St. Petersburg State University, 28 Universitetskii pr., St. Petersburg, 198504, Russian Federation
  • 6 Department of Mechanics, Mathematics and Management, Polytechnic University of Bari, Via E. Orabona, 4, Bari, 70125, Italy
  • 7 Department of Mathematics, University of Salerno, Via Giovanni Paolo II, Salerno, 132 84084, Italy
Ключевые слова
A priori estimates; Maximal regularity; Quasilinear; Second-order elliptic equations; Strong solvability; Venttsel problem; VMO
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