Title of article
Nontrivial solutions of a nonlinear heat flow problem via Sperner’s Lemma
Author/Authors
Palamides، نويسنده , , P.K. and Infante، نويسنده , , G. and Pietramala، نويسنده , , P.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
7
From page
1444
To page
1450
Abstract
In this paper we investigate the existence of multiple nontrivial solutions of a nonlinear heat flow problem with nonlocal boundary conditions. Our approach relies on the properties of a vector field on the phase plane and utilizes Sperner’s Lemma, combined with the continuum property of the solutions funnel.
Keywords
nonlocal boundary value problem , Nontrivial solution , vector field , Kneser’s theorem , Knaster–Kuratowski–Mazurkiewicz principle
Journal title
Applied Mathematics Letters
Serial Year
2009
Journal title
Applied Mathematics Letters
Record number
1526246
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