On the Density of Regular Functions in Variable Exponent Sobolev Spaces

The talk will deal with when every function in a variable exponent Sobolev space can be approximated by a more regular function, such as a smooth or Lipschitz continuous function. Many researchers have made contributions , but still remain substantial gaps in our understanding of this intricate question. A discussion on methods also will take place. I will also give some my results for the density in variable exponent Sobolev spaces .