An existence result for singular Finsler double phase problems
Analysis of PDEs
2021-03-18 v2
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.
Cite
@article{arxiv.2011.03774,
title = {An existence result for singular Finsler double phase problems},
author = {Csaba Farkas and Patrick Winkert},
journal= {arXiv preprint arXiv:2011.03774},
year = {2021}
}