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.
KeywordsTopological Space Closed Subset Nontrivial Solution Convergent Subsequence Preceding Theorem
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© Birkhäuser 1996