An existence result for singular Finsler double phase problems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:286

Article

Farkas, Csaba¹  Winkert, Patrick² 

[1] Sapientia Hungarian Univ Transylvania, Dept Math & Comp Sci, Targu Mures, Romania

[2] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

关键词: Anisotropic double phase operator;    Critical type exponent;    Existence results;    Minkowski space;    Singular problems;   

DOI  :  10.1016/j.jde.2021.03.036

来源: Elsevier

【 摘 要 】

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 non-trivial weak solution for such a problem. This is the first work dealing with a Finsler double phase operator even in the nonsingular case. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free