In this paper we consider a periodic problem driven by the one dimensional $p$-Laplacian and with a discontinuous right hand side. We pass to a multivalued problem, by filling in the gaps at the discontinuity points. Then for the multivalued problem, using the nonsmooth critical point theory, we establish the existence of at least three distinct periodic solutions.
@article{107831,
author = {Nikolaos S. Papageorgiou and Nikolaos Yannakakis},
title = {Multiple solutions for nonlinear periodic problems with discontinuities},
journal = {Archivum Mathematicum},
volume = {038},
year = {2002},
pages = {171-182},
zbl = {1090.34035},
mrnumber = {1921589},
language = {en},
url = {http://dml.mathdoc.fr/item/107831}
}
Papageorgiou, Nikolaos S.; Yannakakis, Nikolaos. Multiple solutions for nonlinear periodic problems with discontinuities. Archivum Mathematicum, Tome 038 (2002) pp. 171-182. http://gdmltest.u-ga.fr/item/107831/
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