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Publicly Available Published by De Gruyter March 10, 2016

Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation

  • Franco Obersnel
From the journal Advanced Nonlinear Studies
https://doi.org/10.1515/ans-2007-0409
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Abstract

We discuss existence and multiplicity of solutions of the one-dimensional autonomous prescribed curvature problem

, u(0) = 0, u(1) = 0,

depending on the behaviour at the origin and at infinity of the function f. We consider solutions that are possibly discontinuous at the points where they attain the value zero.

Keywords: Prescribed curvature equation; two-point boundary value problem; time-map; multiplicity
Published Online: 2016-03-10
Published in Print: 2007-11-01

© 2016 by Advanced Nonlinear Studies, Inc.

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From the journal
Advanced Nonlinear Studies
Advanced Nonlinear Studies
Volume 7 Issue 4
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Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation
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