Search results for "VARIATION"

showing 10 items of 2124 documents

Indecomposable sets of finite perimeter in doubling metric measure spaces

2020

We study a measure-theoretic notion of connectedness for sets of finite perimeter in the setting of doubling metric measure spaces supporting a weak $(1,1)$-Poincar\'{e} inequality. The two main results we obtain are a decomposition theorem into indecomposable sets and a characterisation of extreme points in the space of BV functions. In both cases, the proof we propose requires an additional assumption on the space, which is called isotropicity and concerns the Hausdorff-type representation of the perimeter measure.

Pure mathematicsSocial connectednessvariaatiolaskentaSpace (mathematics)01 natural sciencesMeasure (mathematics)differentiaaligeometriaPerimeterMathematics - Analysis of PDEsMathematics - Metric Geometry0103 physical sciencesFOS: Mathematics0101 mathematicsExtreme pointRepresentation (mathematics)MathematicsApplied Mathematics010102 general mathematicsdifferential equationsMetric Geometry (math.MG)metriset avaruudetFunctional Analysis (math.FA)Mathematics - Functional AnalysisMetric (mathematics)mittateoria010307 mathematical physicsvariation26B30 53C23Indecomposable moduleAnalysisAnalysis of PDEs (math.AP)Calculus of Variations and Partial Differential Equations
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Neumann p-Laplacian problems with a reaction term on metric spaces

2020

We use a variational approach to study existence and regularity of solutions for a Neumann p-Laplacian problem with a reaction term on metric spaces equipped with a doubling measure and supporting a Poincare inequality. Trace theorems for functions with bounded variation are applied in the definition of the variational functional and minimizers are shown to satisfy De Giorgi type conditions.

Pure mathematicsTrace (linear algebra)Applied MathematicsGeneral Mathematics010102 general mathematicsPoincaré inequalityType (model theory)p-Laplacian operator Measure metric spaces Minimalp-weak upper gradient Minimizer01 natural sciencesMeasure (mathematics)010305 fluids & plasmasTerm (time)symbols.namesakeMetric spaceSettore MAT/05 - Analisi Matematica0103 physical sciencesBounded variationsymbolsp-Laplacian0101 mathematicsMathematics
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Absolutely continuous variational measures of Mawhin's type

2011

Abstract In this paper we study absolutely continuous and σ-finite variational measures corresponding to Mawhin, F- and BV -integrals. We obtain characterization of these σ-finite variational measures similar to those obtained in the case of standard variational measures. We also give a new proof of the Radon-Nikodým theorem for these measures.

Pure mathematicsVariational measure Mawhin integral Radon-Nikodym theoremSettore MAT/05 - Analisi MatematicaGeneral MathematicsCalculusAlgebra over a fieldCharacterization (mathematics)Absolute continuityMathematics
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Infinitely many weak solutions for a mixed boundary value system with (p_1,…,p_m)-Laplacian

2014

The aim of this paper is to prove the existence of infinitely many weak solu- tions for a mixed boundary value system with (p1, . . . , pm)-Laplacian. The approach is based on variational methods.

Pure mathematicscritical pointsinfinitely many solutionsApplied MathematicsMathematical analysisvariational methodsBoundary valuesCritical points variational methods infinitely many solutions p-Laplacian.$p$-laplacianSettore MAT/05 - Analisi MatematicaQA1-939Laplace operatorMathematicsMathematics
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Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains

1995

Pure mathematicslack of emptinesspositive solutionsApplied MathematicsMultiplicity resultsNonlinear elliptic Dirichlet problemsMathematical analysisDirichlet L-functionvariational methodsDirichlet's energyDirichlet distributionExterior domainsDirichlet kernelsymbols.namesakeDirichlet's principlesymbolsExterior domains; lack of emptiness; Nonlinear elliptic Dirichlet problems; positive solutions; variational methodsAnalysisDirichlet seriesMathematics
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Development of an efficient regeneration protocol for pear rootstock Pyrodwarf and assessment of somaclonal variability using SSR analysis.

2009

Pyrus communis L wild pear somaclonal variation genetic diversity cultured leaves invitro leaves molecular markers
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The role of the reporting framework MIATA within current efforts to advance immune monitoring

2014

Quality Controlmedicine.medical_specialtyLaboratory Proficiency TestingConsensusmedicine.medical_treatmentInternational CooperationT-LymphocytesImmunologyImmune monitoringPharmacologyImmunologic TestsImmune assaysMonitoring ImmunologicPredictive Value of TestsmedicineImmunology and AllergyHumansCooperative BehaviorIntensive care medicineImmune monitoringObserver Variationbusiness.industryGuideline adherenceMIATAImmunologic TestsReproducibility of ResultsImmunotherapyTreatment OutcomeReportingPredictive value of testsPractice Guidelines as TopicCooperative behaviorLaboratory Proficiency TestingGuideline AdherenceImmunotherapyCurrent (fluid)businessLaboratories
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Efecto moderador de la institucionalización en las actividades de la vida diaria y bienestar en el envejecimiento

2012

OBJETIVO: El envejecimiento con éxito es un concepto multidimensional que se puede evaluar a partir de componentes objetivos y subjetivos como el funcionamiento físico, psicológico y social. El objetivo de este trabajo es comparar el funcionamiento en variables relacionadas con el envejecimiento exitoso en ancianos institucionalizados y no institucionalizados. MÉTODO: Se realizó un diseño de dos grupos independientes, institucionalizados (N=242) y no institucionalizados (N=607), todos de más de 65 años, evaluándose sus actividades de la vida diaria (AVD) y el bienestar psicológico. RESULTADOS: El Índice de Barthel mostró diferencias significativas, siendo inferior la media de los institucio…

Quality of lifeGerontologyAgingGerontologiaActivities of daily livingCalidad de vidaWell-beingEnvejecimientolcsh:Geriatricsactivities of daily lifeMultivariate analysis of variancewell-beingSuccessful agingbusiness.industryagingGeneral MedicineExplained variationModerationPersonal developmentlcsh:RC952-954.6quality of lifePsicologiaPsychological well-beingActividades de la vida diariaAnalysis of variancebusinessPsychologyBienestarActivities of daily life
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Pentaquarks with anticharm or beauty revisited

2019

We use a constituent model to analyze the stability of pentaquark $\bar Q qqqq$ configurations with a heavy antiquark $\bar c$ or $\bar b$, and four light quarks $uuds$, $ddsu$ or $ssud$. The interplay between chromoelectric and chromomagnetic effects is not favorable, and, as a consequence, no bound state is found below the lowest dissociation threshold.

QuarkNuclear and High Energy PhysicsParticle physicsFOS: Physical sciencesdissociation01 natural sciencesDissociation (chemistry)High Energy Physics - Phenomenology (hep-ph)0103 physical sciencesBound stateInteracción entre cromoeléctico22 Física010306 general physicsconstituentpentaquarkPhysics010308 nuclear & particles physicschromoelectricstabilitymathematical methods: variationalEfectos cromomagnéticoslcsh:QC1-999Pentaquarkanti-charmConfiguraciones pentaquark QHigh Energy Physics - Phenomenologychromomagnetic[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]lcsh:Physics
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Unequal distribution of RT-PCR artifacts along the E1-E2 region of Hepatitis C virus.

2009

Although viral variability studies have focused traditionally on consensus sequences, the relevance of molecular clone sequences for studying viral evolution at the intra-host level is being increasingly recognized. However, for this approach to be reliable, RT-PCR artifacts do not have to contribute excessively to the observed variability. Molecular clone sequences were obtained from an in vitro transcript to estimate the maximum error rate associated to RT-PCR for the Hepatitis C virus (HCV) E1-E2 region. On average, the frequency of RT-PCR errors was one order of magnitude lower than the level of intra-host genetic variability observed in samples from an HCV outbreak. However, RT-PCR err…

RNA virusHepatitis C virusMutational hotspotHepacivirusBiologymedicine.disease_causeDisease OutbreaksViral Envelope ProteinsVirologyGenetic variationmedicineConsensus sequenceSequencingHumansGenetic variabilityVariabilityGeneticsReverse Transcriptase Polymerase Chain ReactionMolecular cloningRNA virusbiology.organism_classificationHepatitis CReverse transcriptaseHypervariable regionHypervariable regionViral evolutionRNA ViralArtifactsJournal of virological methods
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