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arXiv · 2011.03774

An existence result for singular Finsler double phase problems

Csaba Farkas·Patrick Winkert
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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.

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Csaba Farkas, Patrick Winkert. 2020-11-07. An existence result for singular Finsler double phase problems. https://arxiv.org/abs/2011.03774

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