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Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient. / Arkhipova, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 255, No. 4, 07.05.2021, p. 388-408.

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

Harvard

Arkhipova, AA 2021, 'Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient', Journal of Mathematical Sciences (United States), vol. 255, no. 4, pp. 388-408. https://doi.org/10.1007/s10958-021-05380-9

APA

Arkhipova, A. A. (2021). Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient. Journal of Mathematical Sciences (United States), 255(4), 388-408. https://doi.org/10.1007/s10958-021-05380-9

Vancouver

Arkhipova AA. Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient. Journal of Mathematical Sciences (United States). 2021 May 7;255(4):388-408. https://doi.org/10.1007/s10958-021-05380-9

Author

Arkhipova, A. A. / Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient. In: Journal of Mathematical Sciences (United States). 2021 ; Vol. 255, No. 4. pp. 388-408.

BibTeX

@article{55991c902f744f51810e2317cd158ac2,
title = "Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient",
abstract = "We consider a quasilinear elliptic system of equations with nondiagonal principal matrix and additional terms admitting quadratic nonlinearity in the gradient of the solution. Under a one-sided condition on the strongly nonlinear term, we study the local smoothness of the (possibly, unbounded) solution.",
author = "Arkhipova, {A. A.}",
note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
day = "7",
doi = "10.1007/s10958-021-05380-9",
language = "English",
volume = "255",
pages = "388--408",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Local Regularity of Weak Solutions to Quasilinear Elliptic Systems with One-Sided Condition on Quadratic Nonlinearity in the Gradient

AU - Arkhipova, A. A.

N1 - Publisher Copyright: © 2021, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5/7

Y1 - 2021/5/7

N2 - We consider a quasilinear elliptic system of equations with nondiagonal principal matrix and additional terms admitting quadratic nonlinearity in the gradient of the solution. Under a one-sided condition on the strongly nonlinear term, we study the local smoothness of the (possibly, unbounded) solution.

AB - We consider a quasilinear elliptic system of equations with nondiagonal principal matrix and additional terms admitting quadratic nonlinearity in the gradient of the solution. Under a one-sided condition on the strongly nonlinear term, we study the local smoothness of the (possibly, unbounded) solution.

UR - http://www.scopus.com/inward/record.url?scp=85105495869&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/8a27be55-a9b5-3add-a169-68fc1c067181/

U2 - 10.1007/s10958-021-05380-9

DO - 10.1007/s10958-021-05380-9

M3 - Article

AN - SCOPUS:85105495869

VL - 255

SP - 388

EP - 408

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 78033138