Matches in SemOpenAlex for { <https://semopenalex.org/work/W1998101745> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1998101745 abstract "In this article we introduce and investigate a new two-parameter family of knot energies $TP^{(p,q)}$ that contains the tangent-point energies. These energies are obtained by decoupling the exponents in the numerator and denominator of the integrand in the original definition of the tangent-point energies. We will first characterize the curves of finite energy in the sub-critical range $pin(q+2,2q+1)$ and see that those are all injective and regular curves in the Sobolev-Slobodeckiĭ space $W^{(p-1)/q,q}$. We derive a formula for the first variation that turns out to be a non-degenerate elliptic operator for the special case $q=2$ --- a fact that seems not to be the case for the original tangent-point energies. This observation allows us to prove that stationary points of $TP^{(p,2)}$ + lambda length, $pin(4,5)$, lambda > 0, are smooth --- so especially all local minimizers are smooth." @default.
- W1998101745 created "2016-06-24" @default.
- W1998101745 creator A5062414279 @default.
- W1998101745 creator A5082723492 @default.
- W1998101745 date "2012-08-17" @default.
- W1998101745 modified "2023-09-27" @default.
- W1998101745 title "Regularity theory for tangent-point energies: The non-degenerate sub-critical case" @default.
- W1998101745 cites W1759624517 @default.
- W1998101745 cites W1973570697 @default.
- W1998101745 cites W1980892915 @default.
- W1998101745 cites W1998938425 @default.
- W1998101745 cites W2005545100 @default.
- W1998101745 cites W2008367706 @default.
- W1998101745 cites W2033190407 @default.
- W1998101745 cites W2038099638 @default.
- W1998101745 cites W2103282036 @default.
- W1998101745 cites W2118228930 @default.
- W1998101745 cites W2122724852 @default.
- W1998101745 cites W2133569585 @default.
- W1998101745 cites W2143086174 @default.
- W1998101745 cites W2150812234 @default.
- W1998101745 cites W2153292122 @default.
- W1998101745 cites W2158251088 @default.
- W1998101745 cites W319339067 @default.
- W1998101745 cites W3210101021 @default.
- W1998101745 hasPublicationYear "2012" @default.
- W1998101745 type Work @default.
- W1998101745 sameAs 1998101745 @default.
- W1998101745 citedByCount "0" @default.
- W1998101745 crossrefType "posted-content" @default.
- W1998101745 hasAuthorship W1998101745A5062414279 @default.
- W1998101745 hasAuthorship W1998101745A5082723492 @default.
- W1998101745 hasConcept C121332964 @default.
- W1998101745 hasConcept C127413603 @default.
- W1998101745 hasConcept C128107574 @default.
- W1998101745 hasConcept C133731056 @default.
- W1998101745 hasConcept C134306372 @default.
- W1998101745 hasConcept C138187205 @default.
- W1998101745 hasConcept C157157409 @default.
- W1998101745 hasConcept C196298200 @default.
- W1998101745 hasConcept C202444582 @default.
- W1998101745 hasConcept C205606062 @default.
- W1998101745 hasConcept C2524010 @default.
- W1998101745 hasConcept C2778113609 @default.
- W1998101745 hasConcept C33923547 @default.
- W1998101745 hasConcept C37914503 @default.
- W1998101745 hasConcept C62520636 @default.
- W1998101745 hasConcept C72319582 @default.
- W1998101745 hasConcept C99730327 @default.
- W1998101745 hasConceptScore W1998101745C121332964 @default.
- W1998101745 hasConceptScore W1998101745C127413603 @default.
- W1998101745 hasConceptScore W1998101745C128107574 @default.
- W1998101745 hasConceptScore W1998101745C133731056 @default.
- W1998101745 hasConceptScore W1998101745C134306372 @default.
- W1998101745 hasConceptScore W1998101745C138187205 @default.
- W1998101745 hasConceptScore W1998101745C157157409 @default.
- W1998101745 hasConceptScore W1998101745C196298200 @default.
- W1998101745 hasConceptScore W1998101745C202444582 @default.
- W1998101745 hasConceptScore W1998101745C205606062 @default.
- W1998101745 hasConceptScore W1998101745C2524010 @default.
- W1998101745 hasConceptScore W1998101745C2778113609 @default.
- W1998101745 hasConceptScore W1998101745C33923547 @default.
- W1998101745 hasConceptScore W1998101745C37914503 @default.
- W1998101745 hasConceptScore W1998101745C62520636 @default.
- W1998101745 hasConceptScore W1998101745C72319582 @default.
- W1998101745 hasConceptScore W1998101745C99730327 @default.
- W1998101745 hasLocation W19981017451 @default.
- W1998101745 hasOpenAccess W1998101745 @default.
- W1998101745 hasPrimaryLocation W19981017451 @default.
- W1998101745 hasRelatedWork W1828489886 @default.
- W1998101745 hasRelatedWork W1976151756 @default.
- W1998101745 hasRelatedWork W1986513145 @default.
- W1998101745 hasRelatedWork W2053922881 @default.
- W1998101745 hasRelatedWork W2093626570 @default.
- W1998101745 hasRelatedWork W2133072362 @default.
- W1998101745 hasRelatedWork W2170653373 @default.
- W1998101745 hasRelatedWork W2199425243 @default.
- W1998101745 hasRelatedWork W2326049071 @default.
- W1998101745 hasRelatedWork W2465090718 @default.
- W1998101745 hasRelatedWork W2670322170 @default.
- W1998101745 hasRelatedWork W2891792575 @default.
- W1998101745 hasRelatedWork W2963686924 @default.
- W1998101745 hasRelatedWork W2963712696 @default.
- W1998101745 hasRelatedWork W2964143667 @default.
- W1998101745 hasRelatedWork W2989968489 @default.
- W1998101745 hasRelatedWork W3165461450 @default.
- W1998101745 hasRelatedWork W3188848154 @default.
- W1998101745 hasRelatedWork W3214404240 @default.
- W1998101745 hasRelatedWork W2157821861 @default.
- W1998101745 isParatext "false" @default.
- W1998101745 isRetracted "false" @default.
- W1998101745 magId "1998101745" @default.
- W1998101745 workType "article" @default.