With me, this erros begins when i tried to flash the micropython firmware, after that i got an blue led on d1 mini board. Trying to fix the problem i flashed the AT firmware, and nodeMCU too, with all firmwares my board worked fine but when i flash an arduino sketch(anyone, e.g blink) i turn to get a blue led again and module not work anymore, no wifi, no get ip, no blink, just a blue led.
Solution:
With a Multimeter i tested all components of d1 mini board and all components are ok, Caps, resistors, 3v3 reg.
By lucky I have more 2 good esp-03 module too and to fix my problem i switched the esp8266 IC of my es-03 to my D1 mini board, not need to remove esp-12f of D1mini board if you have an aluminium foil tape to isolate the plastic pins, just isolate all plastic pins from hot air gun and remove the cap of the es12f module. Now you will see the esp8266 IC. If you have good experience with SMD solder, will be easy to solder an new esp8266 IC, if you have not, dont try this beacouse you probally will brick your module, in this case is more easy buy a new one.
i just changed the esp8266 ic and now i can flash arduino scketchs again lo/
I think its will help someone.