Isoparametric and Subparametric Variational Problems.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Let T be an operator defined on the subset U of a Banach space X determined by equality or inequality constraints for a finite number of functionals on X. The necessary conditions that the solution of the minimization problem must satisfy is determined. A case of particular interest is when T has values in Linfinity. Several examples in detail are analyzed to show how the necessary conditions yield detailed information about the solution. The notion of a t-point is introduced and how the information becomes complete at such a point is shown.
- Theoretical Mathematics