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  • Michel Willem
Chapter
Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 24)

Abstract

We identify the two dimensional torus T2 with the quotient space ℝ2/ℤ2. We consider a function φ ∈ C1(T2, ℝ) having a maximum at M and a minimum at m.

Keywords

Topological Space Closed Subset Nontrivial Solution Convergent Subsequence Preceding Theorem 
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 1996

Authors and Affiliations

  • Michel Willem
    • 1
  1. 1.Département de MathématiqueUniversité Catholique de LouvainLouvain-la-NeuveBelgium

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