The Neumann boundary value problem of quasilinear elliptical differential equations of second order in domains with corners

Authors
Knobloch, S
Citation
S. Knobloch, The Neumann boundary value problem of quasilinear elliptical differential equations of second order in domains with corners, MATH NACHR, 216, 2000, pp. 119-144
Citations number
30
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
216
Year of publication
2000
Pages
119 - 144
Database
ISI
SICI code
0025-584X(2000)216:<119:TNBVPO>2.0.ZU;2-9
Abstract
Consider the Neumann problem for quasilinear elliptic equations of second o rder in two-dimensional domains with corners. The quasilinear differential operator is of divergence form. The corner angles alpha(i) satisfy 0 < alph a(i) < pi. It is shown that there exists an asymptotic expansion of the sol ution near a corner.