USA-Chile Workshop on Nonlinear Analysis,
Electron. J. Diff. Eqns., Conf. 06, 2001, pp. 65-87.

On the existence of infinitely many solutions to a damped sublinear boundary-value problem

Anna Capietto & Marielle Cherpion

Abstract:
We prove the existence of infinitely many solutions (with prescribed nodal properties) to a damped sublinear boundary-value problem. The proofs are performed by means of an abstract continuation theorem and the time-map technique for strongly nonlinear operators.

Published Janaury 8, 2001.
Math Subject Classifications: 34B15.
Key Words: Damped sublinear problem, continuation theorem, time-map technique.

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Anna Capietto
Dipartimento di Matematica
Universita di Torino
Via Carlo Alberto 10 - 10123 Torino - Italy
e-mail: capietto@dm.unito.it
Marielle Cherpion
Departement de Mathematique
Universite Catholique de Louvain
Chemin du Cyclotron
2 - B-1348 Louvain-la-Neuve - Belgium
e-mail: cherpion@amm.ucl.ac.be

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