New criteria for the existence of non-trivial fixed points in cones

被引:0
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作者
Alberto Cabada
José Ángel Cid
Gennaro Infante
机构
[1] Universidade de Santiago de Compostela,Departamento de Análise Matemática, Facultade de Matemáticas
[2] Universidade de Vigo,Departamento de Matemáticas
[3] Università della Calabria,Dipartimento di Matematica ed Informatica
关键词
Krasnosel’skiĭ fixed point theorem; positive solutions; conical shells; multiplicity;
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摘要
We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers.
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