论文标题
单数鳍双相问题的存在结果
An existence result for singular Finsler double phase problems
论文作者
论文摘要
在本文中，我们研究了在芬斯勒歧管和右侧，在Minkowski空间上定义的一类奇异双相问题，这些问题允许在此类问题上有一定类型的临界增长。在非常一般的假设和基于变异工具的假设下，我们证明存在至少一个非平凡的弱解决方案。这是与Finsler双相操作员打交道的第一项工作，即使在非语言情况下也是如此。
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.
