Blackmagic DaVinci Resolve
DaVinci Resolve is a professional-grade video editing and color grading software that offers a comprehensive set of tools and features for post-production work. One key aspect of DaVinci Resolve is its support for Linux as a platform, making it an attractive choice for Linux users and professionals working in Linux-based environments. - DaVinci Resolve on Linux
Free version - Free to download and use. It has some limitations on used export resolutions, available plugins and some of the more advanced features (noise reduction, effects, audio and video encoders/decoders, interlaced video handling, GPU usage). For many uses and users this version does pretty much everything you might need for video editing. Does not utilize a GPU as much as the paid Studio version.