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Algebra i Analiz, 2024, Volume 36, Issue 1, Pages 60–94 (Mi aa1901)  

Research Papers

Boundary regularity of unbounded weak solutions of the oblique derivative problem for a class of strongly nonlinear elliptic systems

A. A. Arkhipova

St. Petersburg State University, Universitetskaya nab. 7/9, 199034, St.Petersburg, Russia
References:
Abstract: The paper is devoted to a model setting of the oblique derivative problem for a class of quasilinear elliptic systems with strong nonlinearities in the gradient. Under a one-side condition for nonlinear terms, local regularity near the boundary for weak possibly unbounded solutions is studied. Earlier, the author studied local regularity of solutions for similar systems inside a given domain. The result of this paper is new even for description of the regular points inside a domain.
Keywords: quasilinear elliptic systems, strong nonlinearities, weak unbounded solution.
Received: 12.09.2023
Document Type: Article
Language: English
Citation: A. A. Arkhipova, “Boundary regularity of unbounded weak solutions of the oblique derivative problem for a class of strongly nonlinear elliptic systems”, Algebra i Analiz, 36:1 (2024), 60–94
Citation in format AMSBIB
\Bibitem{Ark24}
\by A.~A.~Arkhipova
\paper Boundary regularity of unbounded weak solutions of the oblique derivative problem for a class of strongly nonlinear elliptic systems
\jour Algebra i Analiz
\yr 2024
\vol 36
\issue 1
\pages 60--94
\mathnet{http://mi.mathnet.ru/aa1901}
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    Алгебра и анализ St. Petersburg Mathematical Journal
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