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Regularity of Weak Solutions to Nondiagonal Elliptic Systems with Composite Boundary Conditions. / Arkhipova, A. A.; Grishina, G. V.
в: Journal of Mathematical Sciences (United States), Том 247, № 6, 01.06.2020, стр. 791-819.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Regularity of Weak Solutions to Nondiagonal Elliptic Systems with Composite Boundary Conditions
AU - Arkhipova, A. A.
AU - Grishina, G. V.
PY - 2020/6/1
Y1 - 2020/6/1
N2 - We consider a model problem in a half-ball for linear and quasilinear elliptic systems of equations with nondiagonal principal matrix. It is assumed that the components of the solution are interconnected by Dirichlet and Neumann type boundary conditions through some matrix on the planar boundary of the half-ball. We establish the Hölder continuity of weak solutions to linear systems and the partial regularity of weak solutions to quasilinear systems. To treat such composite boundary conditions, we apply a modification of the method of A-harmonic approximations adapted to problems under consideration.
AB - We consider a model problem in a half-ball for linear and quasilinear elliptic systems of equations with nondiagonal principal matrix. It is assumed that the components of the solution are interconnected by Dirichlet and Neumann type boundary conditions through some matrix on the planar boundary of the half-ball. We establish the Hölder continuity of weak solutions to linear systems and the partial regularity of weak solutions to quasilinear systems. To treat such composite boundary conditions, we apply a modification of the method of A-harmonic approximations adapted to problems under consideration.
UR - http://www.scopus.com/inward/record.url?scp=85084975170&partnerID=8YFLogxK
U2 - 10.1007/s10958-020-04839-5
DO - 10.1007/s10958-020-04839-5
M3 - Article
AN - SCOPUS:85084975170
VL - 247
SP - 791
EP - 819
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
SN - 1072-3374
IS - 6
ER -
ID: 62144204