In this paper we investigate the existence of multiple nontrivial solutionsof a nonlinear heat flow problem with nonlocal boundary conditions. Ourapproach relies on the properties of vector field on the phase-plane andutilizes the Sperner's Lemma, combined with the continuum property of thesolutions funnel.
Nontrivial solutions of a nonlinear heatflow problem via Sperner’s Lemma
INFANTE, GENNARO
;PIETRAMALA, PAOLAMARIA
2009-01-01
Abstract
In this paper we investigate the existence of multiple nontrivial solutionsof a nonlinear heat flow problem with nonlocal boundary conditions. Ourapproach relies on the properties of vector field on the phase-plane andutilizes the Sperner's Lemma, combined with the continuum property of thesolutions funnel.File in questo prodotto:
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