TY - JOUR ID - 27915 TI - Existence of three solutions for a class of quasilinear elliptic systems involving the $p(x)$-Laplace operator JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Taghavi, Ali AU - Alizadeh Afrouzi, Ghasem AU - Ghorbani, Horieh AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran. Y1 - 2018 PY - 2018 VL - 10 IS - 1 SP - 47 EP - 60 KW - Variable exponent Sobolev space KW - p(x)-Laplacian KW - Three solutions KW - Dirichlet problem DO - 10.22130/scma.2017.27915 N2 - The aim of this paper is to obtain three weak solutions for the Dirichlet quasilinear elliptic systems on a bonded domain. Our technical approach is based on the general three critical points theorem obtained by Ricceri. UR - https://scma.maragheh.ac.ir/article_27915.html L1 - https://scma.maragheh.ac.ir/article_27915_096934b4d663bf9097f8a976dbefed6b.pdf ER -