BOUNDARY HIGHER INTEGRABILITY FOR THE GRADIENT OF DISTRIBUTIONAL SOLUTIONS OF NONLINEAR-SYSTEMS

Authors
GIACHETTI D SCHIANCHI R
Citation
D. Giachetti et R. Schianchi, BOUNDARY HIGHER INTEGRABILITY FOR THE GRADIENT OF DISTRIBUTIONAL SOLUTIONS OF NONLINEAR-SYSTEMS, Studia Mathematica, 123(2), 1997, pp. 175-184
Citations number
15
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
123
Issue
2
Year of publication
1997
Pages
175 - 184
Database
ISI
SICI code
0039-3223(1997)123:2<175:BHIFTG>2.0.ZU;2-1
Abstract
We consider distributional solutions to the Dirichlet problem for nonl inear elliptic systems of the type {div A(x, u, Du) = div f in Omega, u - u(0) is an element of W-0(1,r)(Omega), with r less than the natura l exponent p which appears in the coercivity and growth assumptions fo r the operator A. We prove that Du is an element of W-1,W-p(Omega) if \r - p\ is small enough.