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

Author:

Obersnel Franco1

Affiliation:

1. Dipartimento di Matematica e Informatica Universit`a degli Studi di Trieste via A. Valerio 12/1, I-34127 Trieste, Italia

Abstract

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

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