An existence result for singular Finsler double phase problems

Farkas, Csaba and Winkert, Patrick (2021) An existence result for singular Finsler double phase problems. JOURNAL OF DIFFERENTIAL EQUATIONS, 286. pp. 455-473. ISSN 0022-0396 (print); 1090-2732 (online)

[img] Text
Restricted to Registered users only

Download (274kB)


In this paper, we study a class of singular double phase problems defined on Minkowski spaces in terms of Finsler manifolds and with right-hand sides that allow a certain type of critical growth for such problems. Under very general assumptions and based on variational tools we prove the existence of at least one nontrivial weak solution for such a problem. This is the first work dealing with a Finsler double phase operator even in the nonsingular case.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria
Depositing User: Dr. Alexandru Kristaly
Date Deposited: 12 Oct 2021 09:47
Last Modified: 12 Oct 2021 09:47

Actions (login required)

Edit Item Edit Item