TY  - JOUR
T1  - On continuity properties of monotone operators beyond the natural domain of definition
A1  - Bulíček, Miroslav
JA  - Manuscripta Mathematica
Y1  - 2012
VL  - 138
IS  - 3-4
SP  - 287
EP  - 298
N1  - Preprint NCMM no. 2010-029
UR  - http://www.karlin.mff.cuni.cz/ncmm/preprints/10283181117pr29.pdf
M2  - doi: 10.1007/s00229-011-0506-1
KW  - nonlinear elliptic equations
KW  - weak solution
KW  - well-posedness
N2  - We study boundary value problems associated to a nonlinear elliptic system of partial differential equations. The leading second order elliptic operator provides L 2-coerciveness and has at most linear growth with respect to the gradient. Incorporating properties of Lipschitz approximations of Sobolev functions we are able to show that the problems in consideration are well-posed, in the sense of Hadamard.
ER  -