Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth. (March 2019)
- Record Type:
- Journal Article
- Title:
- Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth. (March 2019)
- Main Title:
- Morrey regularity for nonlinear elliptic equations with partial BMO nonlinearities under controlled growth
- Authors:
- Tian, Hong
Zheng, Shenzhou - Abstract:
- Abstract: We prove a global Morrey regularity for the gradients of weak solution to nonlinear elliptic equations under controlled growth with partial BMO nonlinearities in x -variables over Reifenberg flat domains. We mainly suppose that the principal nonlinearity is merely measurable in one variable and has a small BMO seminorm in the remaining variables; while the lower order terms are subjected to the so-called controlled growth of the gradients, and the boundary of underlying domain is sufficiently flat in the sense of Reifenberg.
- Is Part Of:
- Nonlinear analysis. Volume 180(2019)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 180(2019)
- Issue Display:
- Volume 180, Issue 2019 (2019)
- Year:
- 2019
- Volume:
- 180
- Issue:
- 2019
- Issue Sort Value:
- 2019-0180-2019-0000
- Page Start:
- 1
- Page End:
- 19
- Publication Date:
- 2019-03
- Subjects:
- 35J25 -- 35J60
Nonlinear elliptic equations -- Controlled growth -- Morrey regularity -- Partially BMO nonlinearities -- Reifenberg flat domains
Mathematical analysis -- Periodicals
Functional analysis -- Periodicals
Nonlinear theories -- Periodicals
Analyse mathématique -- Périodiques
Analyse fonctionnelle -- Périodiques
Théories non linéaires -- Périodiques
Functional analysis
Mathematical analysis
Nonlinear theories
Periodicals
Electronic journals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/0362546X ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.na.2018.09.007 ↗
- Languages:
- English
- ISSNs:
- 0362-546X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.316500
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 10141.xml