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Geometric methods in the elastic theory of membranes in liquid crystal phases /
Published 1999Subjects: “…Geometric measure theory…”
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A uniform GTD approach to computer simulation of a terrain sensitive propagation model /
Published 1986Subjects: -
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Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter
Published 2023-11-01Subjects: Get full text
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UKURAN KURVATUR FRAKTAL PADA HIMPUNAN SERUPA DIRI
Published 2013“…Curvature measures are an important tool in geometric measure theory and other fields of mathematics for describing the geometry of sets in Euclidean space. …”
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The regularity problem for geodesics of the control distance
Published 2018-12-01“…We also sketch the possible application of some ideas coming from Geometric Measure Theory.…”
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Product-Type Operators on the Space of Fractional Cauchy Transforms
Published 2022-01-01“…The space of fractional Cauchy transforms plays a central role in classical complex analysis, harmonic analysis, and geometric measure theory. In this paper, we study the boundedness and compactness of product-type operators from the space of fractional Cauchy transforms to the Zygmund-type space in terms of the function theoretic characterization of Julia–Carathéodory type.…”
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Geometry of the triple junction between three fluids in equilibrium
Published 2019-08-01“…Although many of our results can already be found in the literature, our approach is almost self-contained and uses the theory of sets of finite perimeter without making use of more advanced topics within geometric measure theory. Specifically, using only the calculus of variations we prove two monotonicity formulas at the triple junction for the three-fluid configuration, and show that blow up limits exist and are always cones. …”
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On Perimeters and Volumes of Fattened Sets
Published 2019-01-01“…We provide two proofs: one elementary and one based on Geometric Measure Theory. Note that, by the Flemin–Rishel coarea formula, P(Cr) is integrable for r∈(0,a). …”
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LOCAL SET APPROXIMATION: MATTILA–VUORINEN TYPE SETS, REIFENBERG TYPE SETS, AND TANGENT SETS
Published 2015-10-01“…We indicate several applications of this framework to variational problems that arise in geometric measure theory and partial differential equations. …”
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Vanishing sums of roots of unity and the Favard length of self-similar product sets
Published 2022-12-01“…An important theme in geometric measure theory is the typical size of a set when it is randomly projected. …”
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A Multiscale Model for Virus Capsid Dynamics
Published 2010-01-01“…In our approach, the differential geometry theory of surfaces and geometric measure theory are employed as a natural means to couple the macroscopic continuum domain of the fluid mechanical description of the aquatic environment from the microscopic discrete domain of the atomistic description of the biomolecule. …”
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Regularity of viscosity solutions of the σk-Loewner–Nirenberg problem
Published 2023“…Using a relation between the Schouten tensor of the ambient manifold and the mean curvature of a submanifold and related tools from geometric measure theory, we further prove that, when ∂Ω contains more than one connected components, u is not differentiable in Ω.…”
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Stochastic best-effort strategies for Borel goals
Published 2023“…The correctness of the characterization is shown using a version of the Lebesgue Density Theorem from geometric measure theory. On the more practical side, we consider goals given in linear temporal logic. …”
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