Onp→(x)-Anisotropic Problems with Neumann Boundary Conditions

Abstract

This work is devoted to the study of a general class of anisotropic problems involvingp→(·)-Laplace operator. Based on the variational method, we establish the existence of a nontrivial solution without Ambrosetti-Rabinowitz type conditions.

An Existence Result for a Class of p(x)—Anisotropic Type Equations

“…The investigation of anisotropic problems has drawn the attention of many authors; for example, see the works presented in [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references therein. This particular interest in the study of such problems is the basis of many applications to the modeling of wave dynamics and mechanical processes in anisotropic elastic.…”