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Zbl 1201.34041
Infante, G.; Pietramala, P.
A cantilever equation with nonlinear boundary conditions.
(English)
[J] Electron. J. Qual. Theory Differ. Equ. 2009, Spec. Iss. I, Paper No. 15, 14 p., electronic only (2009). ISSN 1417-3875/e

Summary: We prove new results on the existence of positive solutions for some cantilever equation subject to nonlocal and nonlinear boundary conditions. Our main ingredient is the classical fixed point index.
MSC 2000:
*34B18 Positive solutions of nonlinear boundary value problems
34B10 Multipoint boundary value problems
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47H30 Particular nonlinear operators

Keywords: fixed point index; cone; positive solution; cantilever equation

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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