Critical Points under Constraints

  • David G. Costa


In many variational problems one must find critical points of a given functional ϕ ∈ C1(X, ℝ) in the presence of constraints, that is, critical points of ϕ restricted to a set MX of constraints. Naturally, in order to be able to talk about critical points of ϕ|M, the set M must have a differentiable structure. Typically, in the case of a finite number of constraints, M is of the form M = {uX | Ψ (u) = 0, j = 1,..., k} where Ψj ∈ C1(X, ℝ), j = 1,...,k.


Weak Solution Closed Subspace Bounded Smooth Domain Natural Constraint Differentiable Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Birkhäuser Boston 2007

Authors and Affiliations

  • David G. Costa
    • 1
  1. 1.Department of Mathematical SciencesUniversity of Nevada, Las VegasLas VegasUSA

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