Wien oscillator with amplitude stabilization
Then I used lower values of resistance, and for example, for
  resistance of 10 Ohms on output, amplitude of Vout is about 0.13V.


A 741 is NOT a power amplifier - putting 10 ohms on the output is a recipe for disaster. Read the data sheet...

+/- 25mA is the output short circuit current and it's not recommended for anything like 10 ohms. In the data sheet it talks about the minimum load being 2 kohm to meet other technical values.


  What are applications of Wien oscillator?


The process of learning to read data sheets and understanding op-amps will expose you to many applications and if you think that's an unfair answer then "tough" because questions that solicit opinions are usually closed down.