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Sychev, Mikhail Andreevich

Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 17
Presentations: 2

Number of views:
This page:730
Abstract pages:4369
Full texts:1368
References:398
Candidate of physico-mathematical sciences
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https://www.mathnet.ru/eng/person8325
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/313156

Publications in Math-Net.Ru Citations
2022
1. R. Gratwick, M. A. Sychev, “Direct methods in variational field theory”, Sibirsk. Mat. Zh., 63:5 (2022),  1027–1034  mathnet; Siberian Math. J., 63:5 (2022), 862–867
2017
2. M. A. Sychev, “Variational field theory from the point of view of direct methods”, Sibirsk. Mat. Zh., 58:5 (2017),  1150–1158  mathnet  elib; Siberian Math. J., 58:5 (2017), 891–898  isi  elib  scopus 2
2012
3. M. A. Sychev, “The theorem on convergence with a functional for integral functionals with $p(x)$- and $p(x,u)$-growth”, Sibirsk. Mat. Zh., 53:4 (2012),  931–942  mathnet  mathscinet; Siberian Math. J., 53:4 (2012), 748–756  isi  scopus 2
2011
4. M. A. Sychev, “Lower semicontinuity and relaxation for integral functionals with $p(x)$- and $p(x,u)$-growth”, Sibirsk. Mat. Zh., 52:6 (2011),  1394–1413  mathnet  mathscinet; Siberian Math. J., 52:6 (2011), 1108–1123  isi  scopus 4
2005
5. M. A. Sychev, “Theorems on lower semicontinuity and relaxation for integrands with fast growth”, Sibirsk. Mat. Zh., 46:3 (2005),  679–697  mathnet  mathscinet  zmath  elib; Siberian Math. J., 46:3 (2005), 540–554  isi 10
2004
6. M. A. Sychev, “Young measures as measurable functions and applications to variational problems”, Zap. Nauchn. Sem. POMI, 310 (2004),  191–212  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 132:3 (2006), 359–370  elib 6
1996
7. M. A. Sychev, “Examples of scalar regular variational problems that are unsolvable in the classical sense and satisfy standard growth conditions”, Sibirsk. Mat. Zh., 37:6 (1996),  1380–1396  mathnet  mathscinet  zmath; Siberian Math. J., 37:6 (1996), 1212–1277  isi 5
1995
8. M. A. Sychev, “Conditions on the integrand that are necessary and sufficient for the validity of a theorem on convergence with a functional”, Dokl. Akad. Nauk, 344:6 (1995),  749–752  mathnet  mathscinet  zmath
9. M. A. Sychev, “Necessary and sufficient conditions in semicontinuity and convergence theorems with a functional”, Mat. Sb., 186:6 (1995),  77–108  mathnet  mathscinet  zmath; Sb. Math., 186:6 (1995), 847–878  isi 13
10. M. A. Sychev, “Qualitative properties of solutions to the Euler equation and solvability of one-dimensional regular variational problems in the classical sense”, Sibirsk. Mat. Zh., 36:4 (1995),  873–892  mathnet  mathscinet  zmath; Siberian Math. J., 36:4 (1995), 753–769  isi 2
11. M. A. Sychev, “About continuous dependence on the integrand of solutions to simplest variational problems”, Sibirsk. Mat. Zh., 36:2 (1995),  432–443  mathnet  mathscinet  zmath; Siberian Math. J., 36:2 (1995), 379–388  isi 3
12. M. A. Sychev, “A criterion for continuity of an integral functional on a sequence of functions”, Sibirsk. Mat. Zh., 36:1 (1995),  203–214  mathnet  mathscinet  zmath; Siberian Math. J., 36:1 (1995), 185–195  isi 9
1994
13. M. A. Sychev, “Solvability of classical regular one-dimensional variational problems as a corollary of the solvability of the Euler equation”, Dokl. Akad. Nauk, 337:5 (1994),  585–588  mathnet  mathscinet  zmath; Dokl. Math., 50:1 (1995), 143–147
14. M. A. Sychev, “Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations”, Sibirsk. Mat. Zh., 35:6 (1994),  1373–1389  mathnet  mathscinet  zmath; Siberian Math. J., 35:6 (1994), 1220–1233  isi 5
1992
15. M. A. Sychev, “On the question of regularity of the solutions of variational problems”, Mat. Sb., 183:4 (1992),  118–142  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 75:2 (1993), 535–556  isi 13
1991
16. M. A. Sychev, “A classical problem of the calculus of variations”, Dokl. Akad. Nauk SSSR, 319:2 (1991),  292–295  mathnet  mathscinet  zmath; Dokl. Math., 44:1 (1992), 116–120
17. M. A. Sychev, “Regularity of solutions of some variational problems”, Dokl. Akad. Nauk SSSR, 316:6 (1991),  1326–1330  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 292–296

18. M. A. Sychev, “Erratum: “A classical problem of the calculus of variations””, Dokl. Akad. Nauk SSSR, 321:6 (1991),  1128  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Direct approach to the field theory in the calculus of variations
M. A. Sychev
International Conference "Geometric Analysis and Control Theory"
December 11, 2016 14:10   
2. Patalogical solutions of the Euler–Lagrange equation and existence/regularity of minimizers in one-dimensional variational problems
M. A. Sychev
International Conference "Geometric Analysis and Control Theory"
December 8, 2016 16:30   

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