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)
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Official URL: https://doi.org/10.1016/j.jde.2021.03.036
Abstract
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 |
| URI: | http://real.mtak.hu/id/eprint/132369 |
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