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Journals and Conferences
In an infinite network, we introduce the notion of flux which is an important concept in the study of many physical problems. The basic tool needed, namely the discrete version of the Green’s formula, is proved here in a generalized form.
Let R be a Riemannian manifold without a biharmonic Green function defined on it and Ω a domain in R. A necessary and sufficient condition is given for the existence of a biharmonic Green function on Ω.
Let u be a super-biharmonic function, that is, Δ2u≥ 0, on the unit disc D in the complex plane, satisfying certain conditions. Then it has been shown that u has a representation analogous to the Poisson-Jensen representation for subharmonic functions on D. In the same vein, it is shown here that a function u on any Green domain Ω in a Riemannian manifold… (More)
Tissue calcification is a common complication in patients on continuous hemodialysis (HD) for chronic renal failure; however, severe calcification is unusual. Three distinct clinical types of extraosseous calcifications are found in uremic patients: vascular calcification, periarticular (tumoral) calcification, and visceral calcification (heart, lung, and… (More)