I think that the main writers about fictional Martians are:
The Brits form a perfect triad:
Wells writes separately both a future history and a novel about a Martian invasion of Earth;
Stapledon describes Martian invasions of Earth among many other events in a future history text book;
Lewis, disagreeing with Wellsian and Stapledonian visions of the future, locates evil only on Earth and tells us that Wells' Martians are very unlike the real Martians!
However, there are many other writers about Mars:
relevant to Burroughs
Otis Adelbert Kline
authors of composite Marses
James Blish incorporated Mars into his Haertel histories by putting the seminal character, Adolph Haertel, on Mars. Professor Quatermass thought that one group of alien invaders had come from Mars and Quatermass' successor on British television, Doctor Who, has his version of Martians, the Ice Warriors.
And that is as comprehensive as I feel like getting at present.