Are you kidding me? Pollution is a negative externality, and libertarians don't handle market failures very well AT ALL. Climate change is a collective problem. It's the result of many small decisions that add up, so you can't handle it one lawsuit at a time as free-market environmentalists would want you to.
However, note that there's a small fraction of libertarians who advocate for a carbon tax. [1] [2] [3] [4] Though it's a hard sell because libertarians tend to oppose ALL forms of taxation.