Matches in SemOpenAlex for { <https://semopenalex.org/work/W4309436201> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W4309436201 abstract "The present work has as a first goal to extend the previous results in cite{CFL20} to weighted uncertainty principles with nontrivial radially symmetric weights applied to curl-free vector fields. Part of these new inequalities generalize the family of Caffarelli-Kohn-Nirenberg (CKN) inequalities studied by Catrina and Costa in cite{CC} from scalar fields to curl-free vector fields. We will apply a new representation of curl-free vector fields developed by Hamamoto in cite{HT21}. The newly obtained results are also sharp and minimizers are completely described. Secondly, we prove new sharp second order interpolation functional inequalities for scalar fields with radial weights generalizing the previous results in cite{CFL20}. We apply new factorization methods being inspired by our recent work cite{CFL21}. The main novelty in this case is that we are able to find a new independent family of minimizers based on the solutions of Kummer's differential equations. We point out that the two types of weighted inequalities under consideration (first order inequalities for curl-free vector fields vs. second order inequalities for scalar fields) represent independent families of inequalities unless the weights are trivial." @default.
- W4309436201 created "2022-11-27" @default.
- W4309436201 creator A5005047623 @default.
- W4309436201 creator A5053244438 @default.
- W4309436201 creator A5076114974 @default.
- W4309436201 date "2021-11-29" @default.
- W4309436201 modified "2023-10-17" @default.
- W4309436201 title "Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives" @default.
- W4309436201 doi "https://doi.org/10.48550/arxiv.2111.15067" @default.
- W4309436201 hasPublicationYear "2021" @default.
- W4309436201 type Work @default.
- W4309436201 citedByCount "0" @default.
- W4309436201 crossrefType "posted-content" @default.
- W4309436201 hasAuthorship W4309436201A5005047623 @default.
- W4309436201 hasAuthorship W4309436201A5053244438 @default.
- W4309436201 hasAuthorship W4309436201A5076114974 @default.
- W4309436201 hasBestOaLocation W43094362011 @default.
- W4309436201 hasConcept C10138342 @default.
- W4309436201 hasConcept C11413529 @default.
- W4309436201 hasConcept C134306372 @default.
- W4309436201 hasConcept C147663694 @default.
- W4309436201 hasConcept C162324750 @default.
- W4309436201 hasConcept C182306322 @default.
- W4309436201 hasConcept C187834632 @default.
- W4309436201 hasConcept C199360897 @default.
- W4309436201 hasConcept C202444582 @default.
- W4309436201 hasConcept C2524010 @default.
- W4309436201 hasConcept C28826006 @default.
- W4309436201 hasConcept C33923547 @default.
- W4309436201 hasConcept C41008148 @default.
- W4309436201 hasConcept C57691317 @default.
- W4309436201 hasConcept C91188154 @default.
- W4309436201 hasConceptScore W4309436201C10138342 @default.
- W4309436201 hasConceptScore W4309436201C11413529 @default.
- W4309436201 hasConceptScore W4309436201C134306372 @default.
- W4309436201 hasConceptScore W4309436201C147663694 @default.
- W4309436201 hasConceptScore W4309436201C162324750 @default.
- W4309436201 hasConceptScore W4309436201C182306322 @default.
- W4309436201 hasConceptScore W4309436201C187834632 @default.
- W4309436201 hasConceptScore W4309436201C199360897 @default.
- W4309436201 hasConceptScore W4309436201C202444582 @default.
- W4309436201 hasConceptScore W4309436201C2524010 @default.
- W4309436201 hasConceptScore W4309436201C28826006 @default.
- W4309436201 hasConceptScore W4309436201C33923547 @default.
- W4309436201 hasConceptScore W4309436201C41008148 @default.
- W4309436201 hasConceptScore W4309436201C57691317 @default.
- W4309436201 hasConceptScore W4309436201C91188154 @default.
- W4309436201 hasLocation W43094362011 @default.
- W4309436201 hasLocation W43094362012 @default.
- W4309436201 hasOpenAccess W4309436201 @default.
- W4309436201 hasPrimaryLocation W43094362011 @default.
- W4309436201 hasRelatedWork W12418897 @default.
- W4309436201 hasRelatedWork W1795928629 @default.
- W4309436201 hasRelatedWork W2077869348 @default.
- W4309436201 hasRelatedWork W2490966737 @default.
- W4309436201 hasRelatedWork W2954193812 @default.
- W4309436201 hasRelatedWork W2995829760 @default.
- W4309436201 hasRelatedWork W3098189942 @default.
- W4309436201 hasRelatedWork W3168011518 @default.
- W4309436201 hasRelatedWork W4243605982 @default.
- W4309436201 hasRelatedWork W4366307899 @default.
- W4309436201 isParatext "false" @default.
- W4309436201 isRetracted "false" @default.
- W4309436201 workType "article" @default.