Forget the DHT11. Implementing the protocol to read temperature and humidity eats all your memory on the ESP8266 and there is nothing left if you want to support MQTT messaging. However, and I2C sensor works. The I2C implementation using an LM75A can be done and integrated with MQTT.
I am preparing a post with the details on what I did.
About hbouzas
Born in Buenos Aires, Argentina. Studied Physics at the University of Buenos Aires. Joined Schlumberger in February 1985 in Houston, Texas, and worked in several technical and managerial positions until 2000. From 2000 until 2008 held several management positions in Abingdon, UK; Calgary, Alberta and London, UK. Worked in the areas of Geophysical Exploration, Geological Modeling, Structural Modeling, Reservoir Modeling and Petroleum Economics and holds several patents. He is currently the Norway Technology Center Manager for Schlumberger Information Solutions and is based in Oslo and Stavanger. Main interest are software, technology, innovation, 3D visualization, design, human computer interaction, energy, environment.
Horacio Bouzas - VA6DTX 