Obj import in solidworks :- When i try to import obj with only mtl file it worked perfectly, but when i tried with map as a png or jpeg file, it can not import texture. im not saying it could not, just saying that i have not succeed to import any texture file in solidworks till now.
Obj export in solidworks :- u can not directly export obj with mtl in solidworks, but there is one macro which we can use. "https://forum.solidworks.com/thread/54270" find macro in attachment section.
note-- you can not export any types of decals using this macro.