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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 1, Pages 18–31
DOI: https://doi.org/10.22363/2413-3639-2023-69-1-18-31 (Mi cmfd485) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems

A. A. Arkhipova

St. Petersburg State University, St. Petersburg, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-1-18-31
Abstract: We consider nondiagonal elliptic and parabolic systems of equations with strongly nonlinear terms in the gradient. We review and comment known solvability and regularity results and describe the last author's results in this field.
Keywords: nonlinear elliptic systems, nonlinear parabolic systems, regularity of weak solutions.
Bibliographic databases:
Document Type: Article
UDC: 517.2+517.9
Language: Russian
Citation: A. A. Arkhipova, “Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems”, CMFD, 69, no. 1, PFUR, M., 2023, 18–31
Citation in format AMSBIB
\Bibitem{Ark23}
\by A.~A.~Arkhipova
\paper Quasilinear elliptic and parabolic systems with nondiagonal principal matrices and strong nonlinearities in the gradient. Solvability and regularity problems
\serial CMFD
\yr 2023
\vol 69
\issue 1
\pages 18--31
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd485}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-1-18-31}
\edn{https://elibrary.ru/CNBPXH}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Современная математика. Фундаментальные направления
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