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Mappings of L p -integrable distortion: regularity of the inverse

2016

Let X be an open set in R n and suppose that f : X → R n is a Sobolev homeomorphism. We study the regularity of f −1 under the L p -integrability assumption on the distortion function Kf . First, if X is the unit ball and p > n−1, then the optimal local modulus of continuity of f −1 is attained by a radially symmetric mapping. We show that this is not the case when p 6 n − 1 and n > 3, and answer a question raised by S. Hencl and P. Koskela. Second, we obtain the optimal integrability results for |Df −1 | in terms of the L p -integrability assumptions of Kf . peerReviewed

regularity of the inverseSobolev homeomorphismmappings of finite distortionmodulus of continuityhigher integrability
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Mappings of Lp-integrable distortion: regularity of the inverse

2016

Let be an open set in ℝn and suppose that is a Sobolev homeomorphism. We study the regularity of f–1 under the Lp-integrability assumption on the distortion function Kf. First, if is the unit ball and p > n – 1, then the optimal local modulus of continuity of f–1 is attained by a radially symmetric mapping. We show that this is not the case when p ⩽ n – 1 and n ⩾ 3, and answer a question raised by S. Hencl and P. Koskela. Second, we obtain the optimal integrability results for ∣Df–1∣ in terms of the Lp-integrability assumptions of Kf.

regularity of the inverseUnit sphereDistortion functionDiscrete mathematicsPure mathematicsSobolev homeomorphismGeneral Mathematicsta111010102 general mathematicsOpen setInverse01 natural sciencesModulus of continuityHomeomorphism010101 applied mathematicsSobolev spaceDistortion (mathematics)mappings of finite distortionmodulus of continuityhigher integrability0101 mathematicsMathematicsProceedings of the Royal Society of Edinburgh: Section A Mathematics
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Chronic Background Radiation Correlates With Sperm Swimming Endurance in Bank Voles From Chernobyl

2022

Sperm quantity and quality are key features explaining intra- and interspecific variation in male reproductive success. Spermatogenesis is sensitive to ionizing radiation and laboratory studies investigating acute effects of ionizing radiation have indeed found negative effects of radiation on sperm quantity and quality. In nature, levels of natural background radiation vary dramatically, and chronic effects of low-level background radiation exposure on spermatogenesis are poorly understood. The Chernobyl region offers a unique research opportunity for investigating effects of chronic low-level ionizing radiation on reproductive properties of wild organisms. We captured male bank voles (Myo…

reproductionbackground radiationEcologyEvolutionMyodes glareolusQH359-425performanceQH540-549.5sperm morphometryFrontiers in Ecology and Evolution
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Understanding the health care pattern of homeless children through their residential journey

2021

En Île-de-France, l’hôtel social est souvent mobilisé par les associations pour héberger des familles, principalement migrantes et accompagnées d’enfants de moins de 6 ans. À cet âge, l’enfant nécessite un suivi de soins régulier auprès des professionnels pédiatriques. Nous supposons que ce suivi est dépendant de la mobilité résidentielle inhérente au système d’hébergement hôtelier. Cet article a pour objectif de reconstituer le parcours résidentiel des familles et le parcours de soins de leurs enfants et de saisir comment ces derniers s’influencent. La démonstration repose sur 18 entretiens biographiques spatialisés réalisés entre 2013 et 2016 auprès des familles sans logement hébergées en…

residential instability[SHS.SOCIO]Humanities and Social Sciences/Sociologyimmigrants[SHS.SOCIO] Humanities and Social Sciences/Sociologyhealthcare patternfamilles sans logementmigrantssanté infantileÎle-de-FranceParis Regionhomeless familiesinstabilité résidentielleparcours de soinschild healthComputingMilieux_MISCELLANEOUSPopulations vulnérables
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Lake size and fish diversity determine resource use and trophic position of a top predator in high-latitude lakes

2015

Prey preference of top predators and energy flow across habitat boundaries are of fundamental importance for structure and function of aquatic and terrestrial ecosystems, as they may have strong effects on production, species diversity, and food-web stability. In lakes, littoral and pelagic food-web compartments are typically coupled and controlled by generalist fish top predators. However, the extent and determinants of such coupling remains a topical area of ecological research and is largely unknown in oligotrophic high-latitude lakes. We analyzed food-web structure and resource use by a generalist top predator, the Arctic charr Salvelinus alpinus (L.), in 17 oligotrophic subarctic lakes…

resource competitionlake morphometryNICHE SEGREGATIONfood-chain lengthCHARR SALVELINUS-ALPINUSSTABLE-ISOTOPEVDP::Matematikk og Naturvitenskap: 400::Zoologiske og botaniske fag: 480::Marinbiologi: 497SUB-ARCTIC LAKESSALMO-TRUTTA L.WHITEFISHsaalistustrophic nicheWEBSMAINTENANCEMORPHOMETRYenergy mobilization1181 Ecology evolutionary biologyhabitat couplingstable isotope analysisVDP::Mathematics and natural science: 400::Zoology and botany: 480::Marine biology: 497predationBenthic1172 Environmental sciencesOriginal Research
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The variable position of Arctic charr (Salvelinus alpinus (L.)) in subarctic lake food webs

2013

resource competitionpelagiaaliekologiset lokerotympäristötekijätplanktonpohjaeliöstölake morphometryulappavyöhykkeetenergy flowravinnonkäyttönieriälitoraalitrophic nicheindividual specializationeriytyminenravinnonottostable isotope analysislittoral productionkilpailurantavyöhykkeetravintoverkot
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INSTITUTIONALISATION OF RETURN MIGRATION IN LATVIA: THE CASE OF REGIONAL COORDINATORS

2021

Emigration countries such as Latvia institutionally should address the negative consequences of the ageing populations' economic and demographic challenges. To this aim, in 2018 network of five regional return migration coordinators was established to foster and nationally encourage return migration. The primary function of the regional coordinator is to foster and facilitate requests of potential return migrants.Drawing on interview materials collected in 2020 with return migration coordinators at the regional level – Latgale, Vidzeme, Zemgale, Kurzeme and Riga, we illustrate good-practice of return migration institutionalisation in Latvia.Our study focuses on three main fields of interest…

return migration regional coordinators qualitative approach regions interviewsEconomic growthWork (electrical)InstitutionalisationPolitical sciencemedia_common.quotation_subjectPerspective (graphical)HomelandFunction (engineering)Emigrationmedia_commonSOCIETY. INTEGRATION. EDUCATION. Proceedings of the International Scientific Conference
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La résidence aristocratique de Montmartin, Oise, du IIIe au IIe s. av. J.-C.

1997

188 fig., 20 tabl., ill., cartes, plans, rés. en fr., angl., allem., bibliogr. p. 251-260

résidence aristocratique[SHS.ARCHEO] Humanities and Social Sciences/Archaeology and Prehistory[SHS.ARCHEO]Humanities and Social Sciences/Archaeology and PrehistoryLa TèneMontmartinLa Tène (en)[ SHS.ARCHEO ] Humanities and Social Sciences/Archaeology and PrehistoryAristocratic home (en)Montmartin (en)
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Conferència "Sanchis Guarner i la secció filològica de l'IEC"

2011

Conferència "Sanchis Guarner i la secció filològica de l'IEC". Homenatge al filòleg Manuel Sanchis Guarner.

sanchis guarner filòleg homenatge centenari conferència Vicent Pitarch Isidor Marí IEC550510 Actes culturals
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Conferències homenatge a Sanchis Guarner. Acte inaugural

2011

Acte inaugural de la Jornada de conferències en homenatge al filòleg Manuel Sanchis Guarner.

sanchis guarner filòleg homenatge centenari conferència acte inaugural550510 Actes culturals
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