<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">MARTIN BOHNER</style></author><author><style face="normal" font="default" size="100%">GIUSEPPE CARISTI</style></author><author><style face="normal" font="default" size="100%">SHAPOUR HEIDARKHANI</style></author><author><style face="normal" font="default" size="100%">AMJAD SALARI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THREE SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS NONLOCAL SYSTEMS: AN ORLICZ-SOBOLEV SPACE SETTING</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">35J60</style></keyword><keyword><style  face="normal" font="default" size="100%">35J70</style></keyword><keyword><style  face="normal" font="default" size="100%">46E35</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword><keyword><style  face="normal" font="default" size="100%">68T40</style></keyword><keyword><style  face="normal" font="default" size="100%">76A02</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2017</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2017</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/26/2/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">26</style></volume><pages><style face="normal" font="default" size="100%">24</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this work, we investigate the existence of multiple solutions for a class of nonhomogeneous nonlocal systems via variational methods and critical point theory. We give a new criteria for guaranteeing that the nonhomogeneous nonlocal systems with a perturbed term have at least three solutions in an appropriate Orlicz-Sobolev space. By presenting two examples we illustrate the results.&lt;/p&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue><section><style face="normal" font="default" size="100%">259</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">ABDOLLAH NAZARI</style></author><author><style face="normal" font="default" size="100%">GHASEM A. AFROUZI</style></author><author><style face="normal" font="default" size="100%">SHAPOUR HEIDARKHANI</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">INFINITELY MANY SOLUTIONS FOR PERTURBED FOURTH-ORDER KIRCHHOFF-TYPE PROBLEMS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">58E05</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2016</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2016</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://www.acadsol.eu/dsa/articles/25/14.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">25</style></volume><pages><style face="normal" font="default" size="100%">15</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Existence results of infinitely many solutions for perturbed fourth-order Kirchhoff- type problems are established. No symmetric condition on the nonlinear term is assumed. The main tool is an infinitely many critical points theorem&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">273</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">GABRIELE BONANNO</style></author><author><style face="normal" font="default" size="100%">SHAPOUR HEIDARKHANI</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">MULTIPLE SOLUTIONS FOR A CLASS OF DIRICHLET QUASILINEAR ELLIPTIC SYSTEMS DRIVEN BY A (P, Q)-LAPLACIAN OPERATOR</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Critical point</style></keyword><keyword><style  face="normal" font="default" size="100%">Dirichlet Systems</style></keyword><keyword><style  face="normal" font="default" size="100%">Multiplicity results</style></keyword><keyword><style  face="normal" font="default" size="100%">Three solutions</style></keyword><keyword><style  face="normal" font="default" size="100%">Variational methods</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/20/07-DSA-31-03.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">11</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;We investigate the existence of three distinct solutions for a class of Dirichlet quasilinear elliptic systems driven by a (p, q)-Laplacian operator. The technical approach is fully based on a very recent three critical points theorem.&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">89</style></section></record><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">SHAPOUR HEIDARKHANI</style></author><author><style face="normal" font="default" size="100%">YU TIAN</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">THREE SOLUTIONS FOR A CLASS OF GRADIENT KIRCHHOFF-TYPE SYSTEMS DEPENDING ON TWO PARAMETERS</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34B15</style></keyword><keyword><style  face="normal" font="default" size="100%">47J10</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/20/37-DSA-517.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">12</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper we shall discuss the existence of at least three solutions for the class of two-point boundary value Kirchhoff-type systems&lt;/p&gt;

&lt;p&gt;( −Ki( Rb a |u ′ i (x)| 2dx)u ′′ i = λFui (x, u1, . . . , un) + µGui (x, u1, . . . , un), ui(a) = ui(b) = 0&lt;/p&gt;

&lt;p&gt;for 1 ≤ i ≤ n. The approach is fully based on a recent three critical points theorem of B. Ricceri [A three critical points theorem revisited, Nonlinear Anal. 70/9 (2009) 3084–3089]&lt;/p&gt;
</style></abstract><section><style face="normal" font="default" size="100%">551</style></section></record></records></xml>