Nonlinear elliptic problems under mixed boundary value conditions in nonsmooth domains

Authors
Ebmeyer, C
Citation
C. Ebmeyer, Nonlinear elliptic problems under mixed boundary value conditions in nonsmooth domains, SIAM J MATH, 32(1), 2000, pp. 103-118
Citations number
22
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN journal
00361410 → ACNP
Volume
32
Issue
1
Year of publication
2000
Pages
103 - 118
Database
ISI
SICI code
0036-1410(20000623)32:1<103:NEPUMB>2.0.ZU;2-B
Abstract
Strongly nonlinear elliptic equations and systems are investigated under mi xed boundary value conditions. It is supposed that the domain is a multidim ensional polyhedral domain. Global regularity results of \del u\(sigma) (si gma greater than or equal to 1) are proven, in particular, W-s,W-p (Omega)- regularity (s < 1/2) of \del u\ and \del u\(2).