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Three periodic solutions for discontinuous perturbations of the vector p-Laplacian operator

Part of: General theory in ordinary differential equations Existence theories

Published online by Cambridge University Press:  20 March 2017

Gabriele Bonanno ,
Petru Jebelean  and
Călin Şerban
Gabriele Bonanno
Affiliation:
Department of Engineering, University of Messina, contrada Di Dio Sant’Agata, 98166 Messina, Italy (bonanno@unime.it)
Petru Jebelean
Affiliation:
Department of Mathematics, West University of Timişoara, 4 Bulevardul Vasile Pârvan, 300223 Timişoara, Romania (petru.jebelean@e-uvt.ro; cserban2005@yahoo.com)
Călin Şerban
Affiliation:
Department of Mathematics, West University of Timişoara, 4 Bulevardul Vasile Pârvan, 300223 Timişoara, Romania (petru.jebelean@e-uvt.ro; cserban2005@yahoo.com)
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Using a variational approach we obtain the existence of at least three periodic solutions for discontinuous perturbations of the vector p-Laplacian operator .

Keywords

vector p-Laplacianperiodic solutionsnon-smooth critical-point theorydifferential inclusionsFilippov-type solutions

MSC classification

Secondary: 34A60: Differential inclusions 49J52: Nonsmooth analysis
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 147 , Issue 4 , August 2017 , pp. 673 - 681
Copyright
Copyright © Royal Society of Edinburgh 2017