Regularity for minimizers of some variational problems in plasticity theory

Autor:	Grigorii Aleksandrovich Seregin, T. N. Shilkin
Rok vydání:	2000
Předmět:	Statistics and Probability Stress (mechanics) Applied Mathematics General Mathematics Mathematical analysis Exponent Bibliography Boundary (topology) Hölder condition Function (mathematics) Plasticity theory Mathematics Second derivative
Zdroj:	Journal of Mathematical Sciences. 99:969-988
ISSN:	1573-8795 1072-3374
DOI:	10.1007/bf02673602
Popis:	A variational problem for a functional depending on the symmetric part of the gradient of the unknown vectorvalued function is considered. We assume that the integrand of the problem has power growth with exponent less than two. We prove the existence of summable second derivatives near a flat piece of the boundary. In the two-dimensional case, Holder continuity up to the boundary of the strain and stress tensors is established. Bibliography: 6 titles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0af0c8dccb8c957e409657ddea198a58 https://doi.org/10.1007/bf02673602 Zobrazit plný text záznamu Full text from SpringerLink