University of TabrizComputational Methods for Differential Equations2345-39825420171001Existence results of infinitely many solutions for a class of p(x)-biharmonic problems3103236539ENSaeidShokoohDepartment of Mathematics, Faculty of Sciences,
Gonbad Kavous University, Gonbad Kavous, IranGhasemAlizadeh AfrouziDepartment of Mathematics, Faculty of Mathematical Sciences,
University of Mazandaran, Babolsar, IranJournal Article20170227<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>https://cmde.tabrizu.ac.ir/article_6539_b6bddd9ead17b36e9afe3d6b4e743494.pdf