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Matematicheskie Zametki, 1976, Volume 20, Issue 4, Pages 581–588 (Mi mzm7880)  
On the conditional extremum of functionals with discontinuous gradients

S. G. Suvorov

Donetsk Polytechnic Institute
Full-text PDF (616 kB)
Abstract: We establish the existence condition for points of conditional extremum for functionals in an arbitrary real Banach space, having discontinuous Gâteaux gradients. We point out an application to the eigenfunction problem for nonlinear elliptic operators.
Received: 04.11.1974
English version:
Mathematical Notes, 1976, Volume 20, Issue 4, Pages 882–886
DOI: https://doi.org/10.1007/BF01098907
Bibliographic databases:
UDC: 519.3
Language: Russian
Citation: S. G. Suvorov, “On the conditional extremum of functionals with discontinuous gradients”, Mat. Zametki, 20:4 (1976), 581–588; Math. Notes, 20:4 (1976), 882–886
Citation in format AMSBIB
\Bibitem{Suv76}
\by S.~G.~Suvorov
\paper On the conditional extremum of functionals with discontinuous gradients
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 4
\pages 581--588
\mathnet{http://mi.mathnet.ru/mzm7880}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=431268}
\zmath{https://zbmath.org/?q=an:0346.35054}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 4
\pages 882--886
\crossref{https://doi.org/10.1007/BF01098907}
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