Greetings,
Mr. SD. From your picture it
appears to be a "standard" type faucet. Perhaps application of heat would be of some help. IF you are using an open flame I would strongly suggest you put a wet (
NOT damp), wet cloth around the base of the fixture to protect the counter top from any wayward flame. A small pencil type torch would be my go-to.
Heat all around the fixture and not the stem as much as possible. Be VERY cautious in your application of heat. You may have to perform many heat/cool/wrench cycles before you see results.