Existence results for double phase implicit obstacle problems involving multivalued operators

Bibliographic description

punktacja MNiSW [2020]: 200

title:	Existence results for double phase implicit obstacle problems involving multivalued operators
author:	Zeng Shengda , Bai Yunru , Gasiński Leszek , Winkert Patrick
journal title:	Calculus of Variations and Partial Differential Equations
volume:	59
date of publication :	2020
article ID:	176
ISSN:	0944-2669
eISSN:	1432-0835
DOI:	10.1007/s00526-020-01841-2
language:	English
journal language:	English
abstract in English:	In this paper we study implicit obstacle problems driven by a nonhomogenous differential operator, called double phase operator, and a multivalued term which is described by Clarke’s generalized gradient. Based on a surjectivity theorem for multivalued mappings, Kluge’s fixed point principle and tools from nonsmooth analysis, we prove the existence of at least one solution.
affiliation:	Wydział Matematyki i Informatyki
type:	journal article
subtype:	academic paper