ON PROPERTIES OF SOLUTIONS OF A CLASS OF NONLINEAR 2ND-ORDER EQUATIONS

Authors
KONDRATEV VA KONKOV AA
Citation
Va. Kondratev et Aa. Konkov, ON PROPERTIES OF SOLUTIONS OF A CLASS OF NONLINEAR 2ND-ORDER EQUATIONS, Sbornik. Mathematics, 83(1), 1995, pp. 67-77
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Sbornik. Mathematics → ACNP
ISSN journal
10645616
Volume
83
Issue
1
Year of publication
1995
Pages
67 - 77
Database
ISI
SICI code
1064-5616(1995)83:1<67:OPOSOA>2.0.ZU;2-G
Abstract
The boundary value problem Lu=f(vertical bar u vertical bar) in Omega, u vertical bar partial derivative Omega = w, is studied, where Omega is an arbitrary, possibly unbounded, open subset of Rn, L = Sigma(i)(n ), j=1 partial derivative/partial derivative x(j)(a(ij)(x)partial deri vative/partial derivative x(j)) is a differential operator of elliptic type with measurable coefficients, and w, f are some functions.