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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

Online
ISSN
1572-9176
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Volume 21, Issue 2

Issues

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

Abstract.

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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