Special Session 167: Functional spaces and multiphase problems

Lavrentiev`s phenomenon and density of regular functions
Iwona Chlebicka
University of Warsaw
Poland
Co-Author(s):    
Abstract:
Modelling materials that differ from place to place require the use of unconventional, inhomogeneous space setting. One of the key structural challenge might be the lack of density of regular functions that entails irregularity or even non-existence of solutions. I will discuss what for do we need the density, how to ensure it and examples when it is not possible