## Abstract We give a generalization of an algebraic formula of GomezβMont for the index of a vector field with isolated zero in (β^__n__^, 0) and tangent to an isolated hypersurface singularity. We only assume that the vector field has an isolated zero on the singularity here.
Tangent Sets in the Space of Measures: With Applications to Variational Analysis
β Scribed by Ilya Molchanov; Sergei Zuyev
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 114 KB
- Volume
- 249
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
We characterise the first and second order tangent sets in the linear space of signed measures with finite total variation and apply the obtained results to derive necessary optimality conditions for functionals on measures.
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