Search results for "quasiconvexity"

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Approximation by uniform domains in doubling quasiconvex metric spaces

2020

We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.

Pure mathematicsPrimary 30L99. Secondary 46E35 26B30Algebraic geometry01 natural sciencesDomain (mathematical analysis)funktioteoriaQuasiconvex functionMathematics::Group TheoryquasiconvexityMathematics - Metric Geometry0103 physical sciencesFOS: Mathematics0101 mathematicsuniform domainComputer Science::DatabasesMathematicsPartial differential equationFunctional analysis010102 general mathematicsMetric Geometry (math.MG)General Medicinemetriset avaruudetMetric spaceBounded functionSobolev extension010307 mathematical physicsfunktionaalianalyysi
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Relaxation of certain integral functionals depending on strain and chemical composition

2012

We provide a relaxation result in $BV \times L^q$, $1\leq q < +\infty$ as a first step towards the analysis of thermochemical equilibria.

RelaxationStrain (chemistry)Applied MathematicsGeneral Mathematics010102 general mathematicsMathematical analysisThermodynamics02 engineering and technologyRelaxation; functions of bounded variation; quasiconvexity.01 natural sciencesquasiconvexityMathematics - Analysis of PDEsfunctions of bounded variation0202 electrical engineering electronic engineering information engineeringFOS: MathematicsRelaxation (physics)020201 artificial intelligence & image processing0101 mathematicsPhysics::Chemical PhysicsChemical compositionMathematicsAnalysis of PDEs (math.AP)
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