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標題Title: Symmetry and uniqueness of nonnegative solutions of some problems in the halfspace
作者Authors: Alberto Farina and Nicola Soave
上傳單位Department: 電子工程系
上傳時間Date: 2012-12-8
上傳者Author: 傅俊結
審核單位Department: 電子工程系
審核老師Teacher: 傅俊結
檔案類型Categories: 論文Thesis
關鍵詞Keyword: 1-D symmetry for elliptic problems; uniqueness for elliptic prob- lems; Liouville theorems; Fourier series.
摘要Abstract: We derive some 1-D symmetry and uniqueness or non-existence results for nonnegative solutions of
􏰅−div (A(x)∇u) = u − g(x) in RN+
u = 0 o n ∂ R N+
in low dimension, under suitable assumptions on A and g. Our method is based upon a combination of Fourier series and Liouville theorems.

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