Geodesic
The conditions of a local minimum of a function in two variable at boundary points
Trudy Instituta matematiki, Tome 17 (2009) no. 2, pp. 35-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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The relation between a local minimum conditions of a real analytic function in two variables at boundary points and the method of Newton diagram are described. 
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A. V. Krivko-Krasko. The conditions of a local minimum of a function in two variable at boundary points. Trudy Instituta matematiki, Tome 17 (2009) no. 2, pp. 35-44. http://geodesic.mathdoc.fr/item/TIMB_2009_17_2_a3/

[1] Zabreiko P.P., Krivko-Krasko A.V., “Usloviya lokalnogo minimuma funktsii dvukh peremennykh i diagramma Nyutona”, Dokl. NAN Belarusi, 51:6 (2007), 30–34 | MR | Zbl

[2] Fikhtengolts G.M., Kurs differentsialnogo i integralnogo ischisleniya, v. 1, Nauka, M., 1970

[3] Krasnoselskii M.A., Vainikko G.M., Zabreiko P.P., Rutitskii Ya.B., Stetsenko V.Ya., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR

[4] Chebotarev N.G., Teoriya algebraicheskikh funktsii, Nauka, M., 1948

[5] Uoker R., Algebraicheskie krivye, Izd. in. lit., M., 1952

[6] Dementeva A.M., Krasnoselskii V.M., Krasnoselskii M.A., “Ob issledovanii na ekstremum funktsii mnogikh peremennykh”, Priblizhennye metody issledovaniya differentsialnykh uravnenii i ikh prilozheniya, 5, Gos. un-t, Kuibyshev, 1979, 3–15 | MR

[7] Bobylev N.A., Krasnoselskii M.A., Analiz na ekstremum. Vyrozhdennye sluchai, Preprint, Institut problem upravleniya, M., 1981, 51 pp.