University of Tabriz Computational Methods for Differential Equations 2345-3982 5 4 2017 10 01 Existence results of infinitely many solutions for a class of p(x)-biharmonic problems 310 323 6539 EN Saeid Shokooh Department of Mathematics, Faculty of Sciences, Gonbad Kavous University, Gonbad Kavous, Iran Ghasem Alizadeh Afrouzi Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran Journal Article 2017 02 27 <strong>The existence of infinitely many weak solutions for a Navier doubly eigenvalue boundary </strong><strong>value problem involving the $p(x)$-biharmonic operator is established. In our main result, </strong><strong>under an appropriate oscillating behavior of the nonlinearity and suitable assumptions on </strong><strong>the variable exponent, a sequence of pairwise distinct solutions is obtained. Furthermore, some </strong><strong>applications are pointed out.</strong> Ricceri's Variational Principle infinitely many solutions Navier condition $p(x)$-biharmonic type operators https://cmde.tabrizu.ac.ir/article_6539_b6bddd9ead17b36e9afe3d6b4e743494.pdf