We study the pointwise convergence and the Γ-convergence of a family of non-local, non-convex functionals Λδ in Lp(Ω) for p>1. We show that the limits are multiples of ∫Ω|∇u|p. This is a continuation of our previous work where the case p=1 was considered.
|Original language||English (US)|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - Feb 2020|
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Pointwise convergence
- Sobolev norms