tattle 发表于 2025-3-28 17:30:40
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Existence and qualitative properties of isoperimetric sets in periodic media,media. We also describe the qualitative properties of the homogenized surface tension, also known as stable norm (or minimal action) in Weak KAM theory. In particular we investigate its strict convexity and differentiability properties.Incommensurate 发表于 2025-3-29 17:00:59
Homogenization with oscillatory Neumann boundary data in general domain,is oscillatory. Our result on the Neumann problem is the nonlinear version of the classical result in for divergence-form operators with co-normal boundary data. We also discuss the Dirichlet boundary problem.VOC 发表于 2025-3-29 23:45:02
On general existence results for one-dimensional singular diffusion equations with spatially inhomoen by the graph of a periodic function. We prove that the initial value problem admits a unique global-in-time viscosity solution for a general periodic continuous initial datum. The notion of a viscosity solution used here is the same as proposed by Giga, Giga and Rybka, who established a comparisoAncillary 发表于 2025-3-30 01:13:20
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