Abstract
AbstractThe paper is devoted to a new kind of implicit obstacle problem given by a fractional Laplacian-type operator and a set-valued term, which is described by a generalized gradient. An existence theorem for the considered implicit obstacle problem is established, using a surjectivity theorem for set-valued mappings, Kluge’s fixed point principle and nonsmooth analysis.
Funder
European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sk lodowska-Curie grant agreement
National Science Center of Poland under Preludium Project
International Project co- financed by the Ministry of Science and Higher Education of Republic of Poland under Grant
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Management Science and Operations Research,Control and Optimization
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