infinitesimal rigidity 中文意思是什麼
infinitesimal rigidity
解釋
無窮小剛性- infinitesimal : adj 1 無限小的，無窮小的，極小的，極微的。2 細微末節的。n 【數學】無限小，無窮小，微元。 infinite...
- rigidity : n. 1. 堅硬，強直；僵硬；【物理學】剛性，剛度。2. 剛直；頑固，強硬。3. 嚴格，嚴厲，嚴峻，嚴肅；嚴密，精密。
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The degenerate elliptic problems we shall study is very closely related to rigidity problems arising from infinitesimal isometric deformation, as well as other geometry problem, such as minimal surface in hyperbolic space. in particular, the existence of solution with high order regularity is very important to investigate geometry problems. one would like to know under what conditions the solution of such equations are as smooth as the given data
通過構造輔助邊值問題，建立了各種能量不等式，並利用這些先驗估計，以及banach - saks定理得到了h ~ 1弱解存在性；利用退化橢圓型方程弱解與強解的一致性和已知的先驗估計，還得到h ~ 1弱解的唯一性。
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