Opuscula Mathematica
Opuscula Math. 36, no. 5 (2016), 631-649

Multiplicity results for an impulsive boundary value problem of p(t)-Kirchhoff type via critical point theory

A. Mokhtari
T. Moussaoui
D. O'Regan
Abstract. In this paper we obtain existence results of \(k\) distinct pairs nontrivial solutions for an impulsive boundary value problem of \(p(t)\)-Kirchhoff type under certain conditions on the parameter \(\lambda\).
Keywords: genus theory, nonlocal problems, impulsive conditions, Kirchhoff equation, \(p(t)\)-Laplacian, variational methods, critical point theory.
Mathematics Subject Classification: 35A15, 35B38, 34A37.
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About the authors ▼
A. Mokhtari
Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
T. Moussaoui
Laboratory of Fixed Point Theory and Applications, Department of Mathematics, E.N.S. Kouba, Algiers, Algeria
D. O'Regan
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
About the article ▼
Communicated by Marek Galewski.
Received: 2016-01-20.
Revised: 2016-03-12.
Accepted: 2016-03-30.
Published online: 2016-06-29.
Cite this article as ▼
A. Mokhtari, T. Moussaoui, D. O'Regan, Multiplicity results for an impulsive boundary value problem of p(t)-Kirchhoff type via critical point theory, Opuscula Math. 36, no. 5 (2016), 631-649, http://dx.doi.org/10.7494/OpMath.2016.36.5.631.
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