Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 6, Pages 1332–1345
DOI: https://doi.org/10.33048/smzh.2023.64.616 (Mi smj7833) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the existence of radially symmetric solutions for the $p$-Laplace equation with strong gradient nonlinearities

Ar. S. Tersenov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (293 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2023.64.616
Abstract: We consider the Dirichlet problem for the $p$-Laplace equation in presence of a gradient not satisfying the Bernstein–Nagumo type condition. We define some class of gradient nonlinearities, for which we prove the existence of a radially symmetric solution with a Hölder continuous derivative.
Keywords: $p$-Laplace equation, Bernstein–Nagumo condition, a priori estimates, radially symmetric solutions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0008
The research was carried out within the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008).
Received: 04.05.2023
Revised: 27.08.2023
Accepted: 25.09.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 6, Pages 1443–1454
DOI: https://doi.org/10.1134/S0037446623060162
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: Ar. S. Tersenov, “On the existence of radially symmetric solutions for the $p$-Laplace equation with strong gradient nonlinearities”, Sibirsk. Mat. Zh., 64:6 (2023), 1332–1345; Siberian Math. J., 64:6 (2023), 1443–1454
Citation in format AMSBIB
\Bibitem{Ter23}
\by Ar.~S.~Tersenov
\paper On the existence of radially symmetric solutions for the $p$-Laplace equation with strong gradient nonlinearities
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 6
\pages 1332--1345
\mathnet{http://mi.mathnet.ru/smj7833}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 6
\pages 1443--1454
\crossref{https://doi.org/10.1134/S0037446623060162}
Linking options:
  • https://www.mathnet.ru/eng/smj7833
  • https://www.mathnet.ru/eng/smj/v64/i6/p1332
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Ñèáèðñêèé ìàòåìàòè÷åñêèé æóðíàë Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025