Mainfolds with small excess and bounded curvature.
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P. Petersen V, Z. Shen, S. Zhu (1993)
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Frederick Wilhlem (1995)
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This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space,...
Lohkamp, Joachim (1998)
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