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Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2024, Volume 11, Issue 1, Pages 3–37
DOI: https://doi.org/10.21638/spbu01.2024.101 (Mi vspua277) 		 
This article is cited in 1 scientific paper (total in 1 paper)

TO THE 300TH ANNIVERSARY OF SPSU

A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I

D. E. Apushkinskayaab, A. A. Arkhipovac, A. I. Nazarovbc, V. G. Osmolovskiic, N. N. Ural'tsevac

a Peoples' Friendship University of Russia named after Patrice Lumumba, Moscow
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c St. Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, 199034, Russian Federation
Full-text PDF (490 kB) Citations (1)
DOI: https://doi.org/10.21638/spbu01.2024.101
Abstract: The article contains a review of the most important results obtained in the framework of the St.Petersburg State University research school on nonlinear PDEs (the O.A. Ladyzhenskaya - N.N. Uraltseva school). The main attention is paid to the works carried out at our university over the past 50 years. The first part of the review concerns the solvability and qualitative properties of solutions to boundary value problems for the second order scalar quasilinear elliptic and parabolic equations, as well as variational problems. The planned second part of the review will include sections on fully nonlinear equations and systems of equations and on free boundary problems.
Keywords: quasilinear equations, boundary value problems, variational inequalities, calculus of variations.
Funding agency Grant number
Russian Science Foundation 22-21-00027
The work of D.E. Apushkinskaya and A.I. Nazarov is supported by Russian Science Foundation (grant no. 22-21-00027).
Received: 19.04.2023
Revised: 29.08.2023
Accepted: 31.08.2023
Document Type: Article
UDC: 517.95
MSC: 35-02
Language: Russian
Citation: D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Ural'tseva, “A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I”, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 11:1 (2024), 3–37
Citation in format AMSBIB
\Bibitem{ApuArkNaz24}
\by D.~E.~Apushkinskaya, A.~A.~Arkhipova, A.~I.~Nazarov, V.~G.~Osmolovskii, N.~N.~Ural'tseva
\paper A survey of results of St.Petersburg State University research school on nonlinear partial differential equations I
\jour Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy
\yr 2024
\vol 11
\issue 1
\pages 3--37
\mathnet{http://mi.mathnet.ru/vspua277}
\crossref{https://doi.org/10.21638/spbu01.2024.101}
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    • This publication is cited in the following 1 articles:
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