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Georgian Mathematical Journal

Editor-in-Chief: Kiguradze, Ivan / Buchukuri, T.

Editorial Board: Kvinikadze, M. / Bantsuri, R. / Baues, Hans-Joachim / Besov, O.V. / Bojarski, B. / Duduchava, R. / Engelbert, Hans-Jürgen / Gamkrelidze, R. / Gubeladze, J. / Hirzebruch, F. / Inassaridze, Hvedri / Jibladze, M. / Kadeishvili, T. / Kegel, Otto H. / Kharazishvili, Alexander / Kharibegashvili, S. / Khmaladze, E. / Kiguradze, Tariel / Kokilashvili, V. / Krushkal, S. I. / Kurzweil, J. / Kwapien, S. / Lerche, Hans Rudolf / Mawhin, Jean / Ricci, P.E. / Tarieladze, V. / Triebel, Hans / Vakhania, N. / Zanolin, Fabio

IMPACT FACTOR 2018: 0.551

CiteScore 2018: 0.52

SCImago Journal Rank (SJR) 2018: 0.320
Source Normalized Impact per Paper (SNIP) 2018: 0.711

Mathematical Citation Quotient (MCQ) 2018: 0.27

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Volume 21, Issue 2


Multiple solutions for a Dirichlet quasilinear system containing a parameter

Shapour Heidarkhani / Johnny Henderson
Published Online: 2014-04-16 | DOI: https://doi.org/10.1515/gmj-2014-0013


In this paper, we apply two theorems from triple critical points theory to establish the existence of at least three solutions for the quasilinear second order differential equations on a compact interval [a,b], -(pi-1)|ui'(x)|pi-2ui''(x)=λFui(x,u1,,un)hi(x,ui'),x(a,b),ui(a)=ui(b)=0, for 1in, under appropriate hypotheses. The obtained results extend some existing results on the subject.

Keywords: Dirichlet problem; critical point; multiple solutions; variational methods

MSC: 34B15

About the article

Received: 2012-09-21

Accepted: 2014-01-22

Published Online: 2014-04-16

Published in Print: 2014-06-01

Citation Information: Georgian Mathematical Journal, Volume 21, Issue 2, Pages 187–197, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: https://doi.org/10.1515/gmj-2014-0013.

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© 2014 by Walter de Gruyter Berlin/Boston.Get Permission

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