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New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2. / Arkhipova, A. A.

In: Journal of Mathematical Sciences, Vol. 132, No. 3, 01.01.2006, p. 255-273.

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

Harvard

Arkhipova, AA 2006, 'New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2', Journal of Mathematical Sciences, vol. 132, no. 3, pp. 255-273. https://doi.org/10.1007/s10958-005-0495-2

APA

Arkhipova, A. A. (2006). New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2. Journal of Mathematical Sciences, 132(3), 255-273. https://doi.org/10.1007/s10958-005-0495-2

Vancouver

Arkhipova AA. New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2. Journal of Mathematical Sciences. 2006 Jan 1;132(3):255-273. https://doi.org/10.1007/s10958-005-0495-2

Author

Arkhipova, A. A. / New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2. In: Journal of Mathematical Sciences. 2006 ; Vol. 132, No. 3. pp. 255-273.

BibTeX

@article{b496d50b2d2f4397aac81e365f0d26c0,
title = "New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2",
abstract = "We consider q-nonlinear nondiagonal elliptic systems, where 1 < q < 2, with strong nonlinear terms in the gradient. Under a smallness condition on the gradient of a solution in the Morrey space Lq,n-q, we estimate the Lp-norm of the gradient for p > q and the Holder norm of the solution for the case n = 2. An abstract theorem on {"}quasireverse Holder inequalities{"} proved by the author earlier is used essentially. Bibliography: 24 titles.",
author = "Arkhipova, {A. A.}",
year = "2006",
month = jan,
day = "1",
doi = "10.1007/s10958-005-0495-2",
language = "English",
volume = "132",
pages = "255--273",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - New a priori estimates for q-nonlinear elliptic systems with strong nonlinearities in the gradient, 1<q<2

AU - Arkhipova, A. A.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We consider q-nonlinear nondiagonal elliptic systems, where 1 < q < 2, with strong nonlinear terms in the gradient. Under a smallness condition on the gradient of a solution in the Morrey space Lq,n-q, we estimate the Lp-norm of the gradient for p > q and the Holder norm of the solution for the case n = 2. An abstract theorem on "quasireverse Holder inequalities" proved by the author earlier is used essentially. Bibliography: 24 titles.

AB - We consider q-nonlinear nondiagonal elliptic systems, where 1 < q < 2, with strong nonlinear terms in the gradient. Under a smallness condition on the gradient of a solution in the Morrey space Lq,n-q, we estimate the Lp-norm of the gradient for p > q and the Holder norm of the solution for the case n = 2. An abstract theorem on "quasireverse Holder inequalities" proved by the author earlier is used essentially. Bibliography: 24 titles.

UR - http://www.scopus.com/inward/record.url?scp=29144507186&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0495-2

DO - 10.1007/s10958-005-0495-2

M3 - Article

AN - SCOPUS:29144507186

VL - 132

SP - 255

EP - 273

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 15728904