TY - JOUR
T1 - Topological degree for (S)+-mappings with maximal monotone perturbations and its applications to variational inequalities
AU - Kobayashi, Jun
AU - Otani, Mitsuharu
PY - 2004/10
Y1 - 2004/10
N2 - This paper is concerned with the topological degree for mappings of class (S)+ with maximal monotone perturbations.Several results and remarks concerning the evaluation of this degree are given. In particular, it is shown that the local degree for the generalized gradient of nonsmooth functional at the local minimizer is equal to one.As applications, two examples of elliptic variational inequalities are given, where the multiple existence of solutions is discussed.
AB - This paper is concerned with the topological degree for mappings of class (S)+ with maximal monotone perturbations.Several results and remarks concerning the evaluation of this degree are given. In particular, it is shown that the local degree for the generalized gradient of nonsmooth functional at the local minimizer is equal to one.As applications, two examples of elliptic variational inequalities are given, where the multiple existence of solutions is discussed.
KW - Elliptic variational inequality
KW - Local minimizer of non-smooth functional
KW - Mapping of class (S)+
KW - Maximal monotone operator
KW - Subdifferential operator
KW - Topological degree
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U2 - 10.1016/j.na.2004.07.007
DO - 10.1016/j.na.2004.07.007
M3 - Article
AN - SCOPUS:4544310804
VL - 59
SP - 147
EP - 172
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 1-2
ER -