Vol. 176, No. 2, 1996

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On constrained extrema

Thomas Vogel

Vol. 176 (1996), No. 2, 557–561
Abstract

Assume that I and J are smooth functionals defined on a Hilbert space H. We derive sufficient conditions for I to have a local minimum at y subject to the constraint that J is constantly J(y).

Mathematical Subject Classification 2000
Primary: 49K27
Secondary: 58E05, 47N10
Milestones
Received: 17 November 1994
Published: 1 December 1996
Authors
Thomas Vogel
Department of Mathematics
Texas A & M University
College Station TX 77843-3368
United States
http://www.math.tamu.edu/~tom.vogel/