Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 121–135 (Mi znsl3598)  
This article is cited in 2 scientific papers (total in 2 papers)

On equation of minimal surface in $\mathbb R^3$: different representations, properties of exact solutions, conservation laws

E. Sh. Gutshabash

St. Petersburg State University, Faculty of Physics, St. Petersburg, Russia
Full-text PDF (229 kB) Citations (2)
References:
PDF
HTML
Abstract: Various representations of the equation of minimal surface in $\mathbb R^3$ are considered. Properties of exact solutions are studied and a procedure to construct the corresponding conservation laws is suggested. Links between the solutions of this equation and those of the elliptic version of the Monge–Ampere equation are found. Bibl. – 19 titles.
Key words and phrases: equation of minimal surface in $\mathbb R^3$, exact solutions, Cauchy–Green formula, conservation laws, Monge–Ampere equation.
Received: 12.04.2010
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 168, Issue 6, Pages 829–836
DOI: https://doi.org/10.1007/s10958-010-0031-x
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: E. Sh. Gutshabash, “On equation of minimal surface in $\mathbb R^3$: different representations, properties of exact solutions, conservation laws”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 121–135; J. Math. Sci. (N. Y.), 168:6 (2010), 829–836
Citation in format AMSBIB
\Bibitem{Gut10}
\by E.~Sh.~Gutshabash
\paper On equation of minimal surface in~$\mathbb R^3$: different representations, properties of exact solutions, conservation laws
\inbook Questions of quantum field theory and statistical physics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 374
\pages 121--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3598}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 168
\issue 6
\pages 829--836
\crossref{https://doi.org/10.1007/s10958-010-0031-x}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77955281078}
Linking options:
  • https://www.mathnet.ru/eng/znsl3598
  • https://www.mathnet.ru/eng/znsl/v374/p121
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:442
    Full-text PDF :105
    References:56
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024