TY: JOUR
T1 - Strongly nonlinear second order multivalued Dirichlet systems
A1 - Aizicovici, Sergiu
A1 - Papageorgiou, Nikolaos Socrates
A1 - Staicu, V
N2 - We consider second order nonlinear Dirichlet systems driven by a nonlinear nonhomogeneous differential operator. The reaction term consists of a maximal monotone map A(?) plus a multivalued perturbation F depending also on derivative. Using tools from multivalued analysis and from the theory of nonlinear operators of monotone type, we prove existence theorems both for the "convex" (F is convex-valued) and the "nonconvex" (F is nonconvex-valued) problems. We also present an example of a system with unilateral constraint.
UR - https://ria.ua.pt/handle/10773/21972
Y1 - 2018
PB - Biemdas Academic Publishers Inc.