If you find that the Don't Starve Together is crashing at launch, or not starting up, and the computer being used is running an AMD Radeon Graphics card, it may be that some AMD optimization features are enabled and are conflicting with the game's initial startup process.
To try and resolve this, go into your AMD Radeon settings / AMD Adrenalin software, and disable all of AMD graphics optimization features for Don't Starve Together to see if that makes a difference when your GPU tries to launch or render the game. This should turn off all built-in Radeon graphics optimization features on the AMD graphics settings that may conflict with the game's processes.
More info on AMD Radeon Settings / AMD Adrenalin options: https://www.amd.com/en/resources/support-articles/faqs/DH3-012.html
You can also contact AMD support for more information/technical support for Radeon or Adrenalin-specific features.
If that does not resolve the issue, please visit our our Don't Starve Together Troubleshooting Guide to find a resolution to just about every issue that will not allow you to play the game.
If you have tried all troubleshooting steps and are still unable to play the game, please report your issue in the Don't Starve Together Bug Tracker with your logs and information for bug reports.