Extremal functions for Morrey’s inequality in convex domains
For a bounded domain Ω ⊂ R[superscript n] and p>n , Morrey’s inequality implies that there is c>0 such that c∥u∥p[subscript ∞]≤∫[subscript Ω]|Du|p[subscript dx] for each u belonging to the Sobolev space W[superscript 1,p][subscript 0](Ω) . We show that the ratio of any two extremal functions i...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2018
|
| Online Access: | http://hdl.handle.net/1721.1/119141 |