Abstract
This paper is concerned with the existence of a nontrivial solution to a class of nonlocal elliptic problems of Kirchhoff type involving the 1-Laplacian operator. This solution will be searched in the space of the functions of bounded variation in . Because of the irregularity of such kind of space (it is non-reflexive), the proof of our main existence result needs the use of some sophisticated arguments. We highlight the fact that, to the very best knowledge of the authors, this work is the first one dealing with an equation of Kirchhoff type involving the 1-Laplacian.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
