標題: 有界平滑區域上擬線性橢圓型問題強解的存在性
Existence of Strong Solutions to Some Quasilinear Elliptic Problems on Bounded Smooth Domains
作者: 陳詠珠
Yeong-Ju Chen
郭滄海
Prof. Tsang-Hai Kuo
應用數學系所
關鍵字: 擬線性橢圓問題;橢圓問題;Quasilinear Elliptic Problem;Elliptic Problem
公開日期: 1998
摘要: 我們討論下列在三維(含)以上空間有界平滑區域Z上之擬線性橢圓方程:Lu=f;針對u的二次微分項係數, 尋找適當的振當範圍以建立在 上之W(2,p) 全局估算。並藉由此估算,證明了此方程式具有屬於W(2,p)交集W(1,p) 之強解。
We consider quasilinear elliptic problems in a bounded smooth domain Z (dimZ=N). If the oscillations of a{ij}=a{ij}(x,r) with respect to r are sufficiently small, then a global W(2,p) estimate for a solution u is established and the existence of a strong solutionu u is proved.
URI: http://140.113.39.130/cdrfb3/record/nctu/#NT870507008
http://hdl.handle.net/11536/64852
Appears in Collections:Thesis