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anonymous
  • Member for 14 years
  • Last seen more than 7 years ago
  • Berlin, Germany
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suggested
Approve
Trace theorem for $C^{k,1}$ domains
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Whether the operator is condensing is the wrong question (it would start to make sense once we compose it with something to form a self-map)
revised
Noncompactness of the Sobolev embedding in the critical exponent case
We are not Omega
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Add missing quotient
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Do away with a bit of smoothness
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Simplify presentation
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Mention boundary regularity
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Use more standard/modern notation; see e.g. Appell's summary article on the topic
revised
Noncompactness of the Sobolev embedding in the critical exponent case
Fix definition: Contraction constant
revised
Noncompactness of the Sobolev embedding in the critical exponent case
deleted 8 characters in body; added 12 characters in body
awarded
 Custodian
reviewed
Approve
Noncompactness of the Sobolev embedding in the critical exponent case
revised
Noncompactness of the Sobolev embedding in the critical exponent case
added 1 character in body
awarded
 Revival
comment
Traces of fractional Sobolev spaces $W^{s,p}$ with $0<s<1/p$
I asked a similar question a while ago and got a reply (it was "no") here: math.stackexchange.com/questions/380301/distributional-trace‌​s
answered
Does strong convergence in $W_p^1$ imply strong convergence of derivatives of absolute values in $L_p$?
awarded
 Informed
comment
Examples of theorems with proofs that have dramatically improved over time
D. J. Newman's A simple proof of Wiener's $ 1/f$ theorem from 1975 seems so simple, I would be surprised if it could be made any simpler: ams.org/journals/proc/1975-048-01/S0002-9939-1975-0365002-8
awarded
 Student
comment
Noncompactness of the Sobolev embedding in the critical exponent case
I had already asked this question on math.stackexchange.com a long time ago (without receiving a reply or even a comment), when I had not looked into the issue properly myself.