Video library: S. K. Vodop'yanov, Sobolev Spaces, geometric function theory and its application

VIDEO LIBRARY


International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii May 25, 2015 12:50, Moscow, Steklov Mathematical Institute of RAS

Sobolev Spaces, geometric function theory and its application S. K. Vodop'yanov Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Abstract: We present new results obtained at the intersection of the theory of Sobolev spaces and geometric function theory. As an application we show a new approach to the definition of allowable deformations in variational problems of the nonlinear theory of elasticity, and a new method of proving the existence of extreme solutions. References S. K. Vodopyanov, “O regulyarnosti otobrazhenii, obratnykh k sobolevskim”, Matem. sb., 203:10 (2012), 3–32 S. K. Vodopyanov, A. D. Ukhlov, “Operatory superpozitsii v prostranstvakh Soboleva”, Izvestiya VUZov. Matematika, 486:10 (2002), 11–33 Yu. G. Reshetnyak, Prostranstvennye otobrazheniya s ogranichennym iskazheniem, Nauka, Novosibirsk, 1982 S. K. Vodopyanov, “O regulyarnosti funktsii Poletskogo pri slabykh analiticheskikh predpolozheniyakh iskhodnogo otobrazheniya”, Dokl. RAN, 455:2 (2014), 130–134 A. N. Baikin, S. K. Vodopyanov, “Emkostnye otsenki, teoremy tipa Liuvillya i ob ustranenii osobennostei dlya otobrazhenii s ogranichennym $(p,q)$-iskazheniem”, Sib. mat. zhurn., 56:2 (2015), 290–321 J. M. Ball, “Convexity conditions and existence theorems in nonlinear elasticity”, Arch. Ration. Mech. and Analys, 63 (1977), 337–403 S. K. Vodopyanov, A. O. Molchanova, “Variatsionnye zadachi nelineinoi teorii uprugosti v nekotorykh klassakh otobrazhenii s konechnym iskazheniem”, Dokl. RAN, 2015 (в печати)