On nonlinear hemivariational inequalities

Nikolaos S. Papageorgiou, and George Smyrlis. On nonlinear hemivariational inequalities. 2003. <http://eudml.org/doc/286005>.

@book{NikolaosS2003,
abstract = {We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities of second order. The problems under consideration are strongly nonlinear and not necessarily of variational nature. So we employ a variety of tools in order to solve them. More precisely, we use the general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled with Landesman-Lazer conditions and linking techniques and also truncation and penalization techniques. The problems that we examine involve Dirichlet boundary conditions; in the last section we also examine a problem with a nonhomogeneous and nonlinear Neumann boundary condition.},
author = {Nikolaos S. Papageorgiou, George Smyrlis},
keywords = {hemivariational inequality; locally Lipschitz functional; generalized subdifferential; upper-lower solution; maximum principle; critical point theory},
language = {eng},
title = {On nonlinear hemivariational inequalities},
url = {http://eudml.org/doc/286005},
year = {2003},
}

TY - BOOK
AU - Nikolaos S. Papageorgiou
AU - George Smyrlis
TI - On nonlinear hemivariational inequalities
PY - 2003
AB - We conduct a detailed study of the existence theory for nonlinear hemivariational inequalities of second order. The problems under consideration are strongly nonlinear and not necessarily of variational nature. So we employ a variety of tools in order to solve them. More precisely, we use the general theory of nonlinear operators of monotone type, the method of upper-lower solutions, the multivalued Leray-Schauder principle, nonsmooth critical point theory coupled with Landesman-Lazer conditions and linking techniques and also truncation and penalization techniques. The problems that we examine involve Dirichlet boundary conditions; in the last section we also examine a problem with a nonhomogeneous and nonlinear Neumann boundary condition.
LA - eng
KW - hemivariational inequality; locally Lipschitz functional; generalized subdifferential; upper-lower solution; maximum principle; critical point theory
UR - http://eudml.org/doc/286005
ER -