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Physics-Constrained Reconstructions of Sunspot Number from Millennial-Scale Annual Heliospheric Modulation Potential. [PDF]
Sol PhysSaha C +8 more
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Nonlinear vibration behavior of self-sustaining CNT nanobeams under thermo-magnetic fields: surface energy insights for advanced sports applications. [PDF]
Sci RepHadj Lajimi R +7 more
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On De Giorgi's conjecture of nonlocal approximations for free-discontinuity problems: The symmetric gradient case. [PDF]
Calc Var Partial Differ EquAlmi S, Davoli E, Kubin A, Tasso E.
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Bifurcation, quasi-periodic dynamics, chaos, and soliton waves in the van der Waals normal form for fluidized granular matter. [PDF]
Sci RepAlam MN +4 more
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POSITIVE HARMONIC FUNCTIONS IN UNIFORM AND ADMISSIBLE DOMAINS
Analysis (Germany), 1988The authors prove inequalities for a class of functions, including positive harmonic functions, in various types of domain. Their most interesting inequalities involve the distance to the boundary of the domain. For example, for certain domains D (bounded uniform domains) in \(R^ n\) (n\(\geq 2)\) and for any positive harmonic function u in D, we have \
Herron, D. A., Vuorinen, M.
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Admissible Functions for the Positive Octant
Mathematical Notes, 2004In this paper, we give examples of admissible functions for the positive octant, which are multidimensional generalizations of regularly varying functions of a single variable introduced by J. Karamata in 1930. For an arbitrary closed convex acute solid n-dimensional cone, admissible functions were introduced by Yu. N. Drozhzhinov and B. I.
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Positive Numberings in Admissible Sets
Siberian Mathematical Journal, 2020 © 2020, Pleiades Publishing, Ltd. We construct the example of an admissible set A such that there exists a positive computable A-numbering of the family of all A-c.e.
V G Puzarenko +2 more
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On Positive Superharmonic Functions in a -Admissible Domains
Journal of the London Mathematical Society, 1984The author introduces a new boundary property of domains. He calls it a- admissible and proves that if a bounded domain D in \({\mathbb{R}}^ N\), \(N\geq 2\), is a-admissible and if u is a positive superharmonic function in D, then u(x)\(\geq k dist(x,D)\) in D for some positive constant k.
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