Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient

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Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient. / Arkhipova, A. A.

In: Journal of Mathematical Sciences, Vol. 259, No. 2, 11.2021, p. 128-147.

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

BibTeX

@article{664dc55443f44ba18844188860a8be45,

title = "Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient",

abstract = "We consider nonlinear elliptic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-sided condition on the strongly nonlinear terms, we study the local regularity of possibly unbounded weak solutions.",

keywords = "elliptic systems, regularity",

author = "Arkhipova, {A. A.}",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

month = nov,

doi = "10.1007/s10958-021-05606-w",

language = "English",

volume = "259",

pages = "128--147",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "2",

}

RIS

TY - JOUR

T1 - Regularity Conditions for Nonlinear Elliptic Systems with Quadratic Nonlinearities in the Gradient

AU - Arkhipova, A. A.

PY - 2021/11

Y1 - 2021/11

N2 - We consider nonlinear elliptic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-sided condition on the strongly nonlinear terms, we study the local regularity of possibly unbounded weak solutions.

AB - We consider nonlinear elliptic systems of equations with nondiagonal principal matrices and quadratic nonlinearities in the gradient. Under a one-sided condition on the strongly nonlinear terms, we study the local regularity of possibly unbounded weak solutions.

KW - elliptic systems, regularity

UR - http://www.scopus.com/inward/record.url?scp=85117533523&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/c1ebc3b0-96d2-350e-a0a7-91d87694d60c/

U2 - 10.1007/s10958-021-05606-w

DO - 10.1007/s10958-021-05606-w

M3 - Article

AN - SCOPUS:85117533523

VL - 259

SP - 128

EP - 147

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 86246297