Loading [MathJax]/jax/output/SVG/config.js
Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Sbornik, 1987, Volume 56, Issue 2, Pages 429–446
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003045 (Mi sm2169) 		 
Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations

D. M. Lekveishvili
English version PDF (785 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM1987v056n02ABEH003045
Abstract: Generalized solutions of the Dirichlet problem for a fourth order elliptic equation in two independent variables are investigated. Unimprovable estimates are obtained for the modulus of the generalized solution and its first derivatives in the neighborhood of a boundary point; it is also proved that the generalized solutions belong to a Hölder space with an unimprovable index depending on the geometry of the domain.
Bibliography: 16 titles.
Received: 24.09.1984
Bibliographic databases:
UDC: 517.956
MSC: Primary 35J40, 35D10, 35B45; Secondary 73K10
Language: English
Original paper language: Russian
Citation: D. M. Lekveishvili, “Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations”, Math. USSR-Sb., 56:2 (1987), 429–446
Citation in format AMSBIB
\Bibitem{Lek85}
\by D.~M.~Lekveishvili
\paper Unimprovable estimates in H\"older spaces for generalized solutions of the Dirichlet problem for a~class of fourth order elliptic equations
\jour Math. USSR-Sb.
\yr 1987
\vol 56
\issue 2
\pages 429--446
\mathnet{http://mi.mathnet.ru/eng/sm2169}
\crossref{https://doi.org/10.1070/SM1987v056n02ABEH003045}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=815274}
\zmath{https://zbmath.org/?q=an:0662.35005|0597.35011}
Linking options:
  • https://www.mathnet.ru/eng/sm2169
  • https://doi.org/10.1070/SM1987v056n02ABEH003045
  • https://www.mathnet.ru/eng/sm/v170/i3/p429
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:424
    Russian version PDF:121
    English version PDF:27
    References:89
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025