RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2002, Volume 72, Issue 2, Pages 198–206 (Mi mz414)

Morrey Regularity of Nonlinear Elliptic Systems of High Order under Degeneration of Ellipticity

E. A. Kalita

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: We study nonlinear elliptic systems of the form $\operatorname {div}^tA(x,D^su)=0$, $s+t$ even, $x\in \Omega \subset \mathbb R^n$, with the natural energy space $H^s$. We establish that for $s>t$ solutions from $H^s$ belong to the Morrey space and the Morrey exponent does not tend to zero under the degeneration of ellipticity. In the case $s=t$, a similar result is obtained under an additional structure condition on the system.

DOI: https://doi.org/10.4213/mzm414

Full text: PDF file (198 kB)
References: PDF file   HTML file

English version:
Mathematical Notes, 2002, 72:2, 177–184

Bibliographic databases:

UDC: 517.956

Citation: E. A. Kalita, “Morrey Regularity of Nonlinear Elliptic Systems of High Order under Degeneration of Ellipticity”, Mat. Zametki, 72:2 (2002), 198–206; Math. Notes, 72:2 (2002), 177–184

Citation in format AMSBIB
\Bibitem{Kal02} \by E.~A.~Kalita \paper Morrey Regularity of Nonlinear Elliptic Systems of High Order under Degeneration of Ellipticity \jour Mat. Zametki \yr 2002 \vol 72 \issue 2 \pages 198--206 \mathnet{http://mi.mathnet.ru/mz414} \crossref{https://doi.org/10.4213/mzm414} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1942545} \zmath{https://zbmath.org/?q=an:1130.42305} \transl \jour Math. Notes \yr 2002 \vol 72 \issue 2 \pages 177--184 \crossref{https://doi.org/10.1023/A:1019841726745} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000178299100019} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0141625214}