A lusin type theorem for gradients
β Scribed by Giovanni Alberti
- Book ID
- 107795067
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 361 KB
- Volume
- 100
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we derive a Liouville type theorem on a complete Riemannian manifold without boundary and with nonnegative Ricci curvature for the equation \(\Delta u(x)+h(x) u(x)=0\), where the conditions \(\lim _{r \rightarrow x} r^{-1} \cdot \sup _{x \in B_{p}(r)}|\nabla h(x)|=0\) and \(h \geqslan
It is discussed that the derivation of different SCF-type equations through the relevant (generalized) Brillouin theorems can be utilized to obtain the energy gradients of the method studied. This is illustrated for the case of the UHF method and used to obtain the gradient formula applicable in the