I recently tried to connect to the esp8266 esp-05 by mobile phone.
It can find the ssid but doesn't connect to the module.
I configured the module through following:
AT+RST
AT+CWMODE=3
AT+CWSAP="DEZ","123456789",1,3
AT+CIPMODE=0
AT+CIPAP="192.168.1.1","192.168.1.1","255.255.255.0"
AT+CIPMUX=1
AT+CIPSERVER=1,333