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Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation. / Arkhipova, A.A.

In: Journal of Mathematical Sciences, Vol. 198, No. 6, 2014, p. 655-676.

Research output: Contribution to journal › Article › peer-review

Harvard

Arkhipova, AA 2014, 'Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation', Journal of Mathematical Sciences, vol. 198, no. 6, pp. 655-676. https://doi.org/10.1007/s10958-014-1817-z

APA

Arkhipova, A. A. (2014). Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation. Journal of Mathematical Sciences, 198(6), 655-676. https://doi.org/10.1007/s10958-014-1817-z

Vancouver

Arkhipova AA. Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation. Journal of Mathematical Sciences. 2014;198(6):655-676. https://doi.org/10.1007/s10958-014-1817-z

Author

Arkhipova, A.A. / Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation. In: Journal of Mathematical Sciences. 2014 ; Vol. 198, No. 6. pp. 655-676.

BibTeX

@article{1b3dbff51d4d49c4b2b9faface37ab00,
title = "Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation",
abstract = "We consider a model boundary value problem for a quasilinear elliptic system of equations with Venttsel boundary condition on a plane part of the boundary. We establish the partial regularity of the solution in a neighborhood of the plane boundary part by the method of harmonic approximations and describe a condition guaranteeing the local H{\"o}lder continuity of the solution along this boundary part. We prove the H{\"o}lder continuity in a neighborhood of a boundary point and describe the possible singular set of the solution. Bibliography: 12 titles",
author = "A.A. Arkhipova",
year = "2014",
doi = "10.1007/s10958-014-1817-z",
language = "English",
volume = "198",
pages = "655--676",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Partial Regularity of Weak Solutions to the Model Venttsel Problem for Quasilinear Elliptic Systems of Equations. Method of A-Harmonic Approximation

AU - Arkhipova, A.A.

PY - 2014

Y1 - 2014

N2 - We consider a model boundary value problem for a quasilinear elliptic system of equations with Venttsel boundary condition on a plane part of the boundary. We establish the partial regularity of the solution in a neighborhood of the plane boundary part by the method of harmonic approximations and describe a condition guaranteeing the local Hölder continuity of the solution along this boundary part. We prove the Hölder continuity in a neighborhood of a boundary point and describe the possible singular set of the solution. Bibliography: 12 titles

AB - We consider a model boundary value problem for a quasilinear elliptic system of equations with Venttsel boundary condition on a plane part of the boundary. We establish the partial regularity of the solution in a neighborhood of the plane boundary part by the method of harmonic approximations and describe a condition guaranteeing the local Hölder continuity of the solution along this boundary part. We prove the Hölder continuity in a neighborhood of a boundary point and describe the possible singular set of the solution. Bibliography: 12 titles

U2 - 10.1007/s10958-014-1817-z

DO - 10.1007/s10958-014-1817-z

M3 - Article

VL - 198

SP - 655

EP - 676

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 5738188