Two nonlinear days in Urbino 2017. Electron. J. Diff. Eqns., Conference 25 (2018), pp. 15-25.

Structure of the solution set for two-point boundary-value problems

Giovanni Anello

Abstract:
We present some results on the structure of the set of solutions of a two-point problem for a class of quasilinear differential equations. These equations involve nonlinearities expressed by a combination of powers which are allowed to be singular at 0. Also we point out some open questions.

Published September 15, 2018.
Math Subject Classifications: 34B15 34B16 34B18.
Key Words: Two point problem; quasilinear equation; positive solution; exact multiplicity.

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Giovanni Anello
Department of Mathematical and Computer Science
Physical Science and Earth Science
University of Messina
email: ganello@unime.it

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