Relative category

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


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.


Topological Space Closed Subset Nontrivial Solution Convergent Subsequence Preceding Theorem 
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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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