Mixed boundary value problems for nonlinear elliptic equations in multidimensional non-smooth domains

Authors
Ebmeyer, C Frehse, J
Citation
C. Ebmeyer et J. Frehse, Mixed boundary value problems for nonlinear elliptic equations in multidimensional non-smooth domains, MATH NACHR, 203, 1999, pp. 47-74
Citations number
22
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
203
Year of publication
1999
Pages
47 - 74
Database
ISI
SICI code
0025-584X(1999)203:<47:MBVPFN>2.0.ZU;2-C
Abstract
The nonlinear elliptic equation [GRAPHICS] is investigated. It is supposed that u fulfils a mixed boundary value condi tion and that Omega subset of R-n (n greater than or equal to 3) has a piec ewise smooth boundary. W-s,W-2 -regularity (s < 3/2) of u and L-p-propertie s of the first and the second derivatives of u are proven.