Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297852563> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4297852563 abstract "In the planar setting the Rad'o-Kneser-Choquet theorem states that a harmonic map from the unit disk onto a Jordan domain bounded by a convex curve is a diffeomorphism provided that the boundary mapping is a homeomorphism. We prove the injectivity criterion of Rad'o-Kneser-Choquet for $p$-harmonic mappings between Riemannian surfaces. In our proof of the injecticity criterion we approximate the $p$-harmonic map with auxiliary mappings that solve uniformly elliptic systems. We prove that each auxiliary mapping has a positive Jacobian by a homotopy argument. We keep the maps injective all the way through the homotopy with the help of the minimum principle for a certain subharmonic expression that is related to the Jacobian." @default.
- W4297852563 created "2022-10-01" @default.
- W4297852563 creator A5023854131 @default.
- W4297852563 creator A5043393873 @default.
- W4297852563 creator A5057151946 @default.
- W4297852563 date "2018-06-08" @default.
- W4297852563 modified "2023-09-27" @default.
- W4297852563 title "The Rad'o-Kneser-Choquet theorem for $p$-harmonic mappings between Riemannian surfaces" @default.
- W4297852563 doi "https://doi.org/10.48550/arxiv.1806.03020" @default.
- W4297852563 hasPublicationYear "2018" @default.
- W4297852563 type Work @default.
- W4297852563 citedByCount "0" @default.
- W4297852563 crossrefType "posted-content" @default.
- W4297852563 hasAuthorship W4297852563A5023854131 @default.
- W4297852563 hasAuthorship W4297852563A5043393873 @default.
- W4297852563 hasAuthorship W4297852563A5057151946 @default.
- W4297852563 hasBestOaLocation W42978525631 @default.
- W4297852563 hasConcept C118615104 @default.
- W4297852563 hasConcept C121332964 @default.
- W4297852563 hasConcept C127934551 @default.
- W4297852563 hasConcept C128107574 @default.
- W4297852563 hasConcept C134306372 @default.
- W4297852563 hasConcept C196433757 @default.
- W4297852563 hasConcept C202444582 @default.
- W4297852563 hasConcept C33923547 @default.
- W4297852563 hasConcept C34388435 @default.
- W4297852563 hasConcept C36503486 @default.
- W4297852563 hasConcept C47177299 @default.
- W4297852563 hasConcept C47556283 @default.
- W4297852563 hasConcept C5961521 @default.
- W4297852563 hasConcept C62354387 @default.
- W4297852563 hasConcept C62520636 @default.
- W4297852563 hasConcept C6270764 @default.
- W4297852563 hasConcept C627467 @default.
- W4297852563 hasConceptScore W4297852563C118615104 @default.
- W4297852563 hasConceptScore W4297852563C121332964 @default.
- W4297852563 hasConceptScore W4297852563C127934551 @default.
- W4297852563 hasConceptScore W4297852563C128107574 @default.
- W4297852563 hasConceptScore W4297852563C134306372 @default.
- W4297852563 hasConceptScore W4297852563C196433757 @default.
- W4297852563 hasConceptScore W4297852563C202444582 @default.
- W4297852563 hasConceptScore W4297852563C33923547 @default.
- W4297852563 hasConceptScore W4297852563C34388435 @default.
- W4297852563 hasConceptScore W4297852563C36503486 @default.
- W4297852563 hasConceptScore W4297852563C47177299 @default.
- W4297852563 hasConceptScore W4297852563C47556283 @default.
- W4297852563 hasConceptScore W4297852563C5961521 @default.
- W4297852563 hasConceptScore W4297852563C62354387 @default.
- W4297852563 hasConceptScore W4297852563C62520636 @default.
- W4297852563 hasConceptScore W4297852563C6270764 @default.
- W4297852563 hasConceptScore W4297852563C627467 @default.
- W4297852563 hasLocation W42978525631 @default.
- W4297852563 hasLocation W42978525632 @default.
- W4297852563 hasLocation W42978525633 @default.
- W4297852563 hasOpenAccess W4297852563 @default.
- W4297852563 hasPrimaryLocation W42978525631 @default.
- W4297852563 hasRelatedWork W1990572784 @default.
- W4297852563 hasRelatedWork W2065603880 @default.
- W4297852563 hasRelatedWork W2078587757 @default.
- W4297852563 hasRelatedWork W2090500956 @default.
- W4297852563 hasRelatedWork W2518705776 @default.
- W4297852563 hasRelatedWork W2806288091 @default.
- W4297852563 hasRelatedWork W3008097442 @default.
- W4297852563 hasRelatedWork W3041198743 @default.
- W4297852563 hasRelatedWork W3096048224 @default.
- W4297852563 hasRelatedWork W3212139473 @default.
- W4297852563 isParatext "false" @default.
- W4297852563 isRetracted "false" @default.
- W4297852563 workType "article" @default.