TY - JOUR ID - 6539 TI - Existence results of infinitely many solutions for a class of p(x)-biharmonic problems JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Shokooh, Saeid AU - Alizadeh Afrouzi, Ghasem AD - Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad Kavous, Iran AD - Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Y1 - 2017 PY - 2017 VL - 5 IS - 4 SP - 310 EP - 323 KW - Ricceri's Variational Principle KW - infinitely many solutions KW - Navier condition KW - $p(x)$-biharmonic type operators DO - N2 - The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary value problem involving the $p(x)$-biharmonic operator is established. In our main result, under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some applications are pointed out. UR - https://cmde.tabrizu.ac.ir/article_6539.html L1 - https://cmde.tabrizu.ac.ir/article_6539_b6bddd9ead17b36e9afe3d6b4e743494.pdf ER -