Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-24T16:22:41.260Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Part of: Existence theories General theory in ordinary differential equations

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 ([email protected])
Petru Jebelean
Affiliation:
Department of Mathematics, West University of Timişoara, 4 Bulevardul Vasile Pârvan, 300223 Timişoara, Romania ([email protected]; [email protected])
Călin Şerban
Affiliation:
Department of Mathematics, West University of Timişoara, 4 Bulevardul Vasile Pârvan, 300223 Timişoara, Romania ([email protected]; [email protected])
Get access Rights & Permissions [Opens in a new window]

Extract

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)