Lower Semicontinuity in L¹ of a Class of Functionals Defined on BV with Caratheodory Integrands
We prove lower semicontinuity in ¹(Ω) for a class of functionals :(Ω) →ℝ of the form ()=∫Ω(, ) + ∫Ω()|Dˢ| where :Ω⨉ℝᴺ→ℝ, Ω⊂ℝᴺ is open and bounded, (.,) ∊ ¹(Ω) for each satisfies the linear growth condition lim|→∞ (,)/|| = () ∊ (Ω) ∩ ∞ (Ω) and is convex in depending only on || for a.e. . Here, we rec...
Saved in:
| Main Author: | |
|---|---|
| Format: | article |
| Published: |
2021
|
| Online Access: | http://hdl.handle.net/11073/24057 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Be the first to leave a comment!