In this paper‎, ‎we prove a multiplicity result for some biharmonic elliptic equation of Kirchhoff type and involving nonlinearities with critical exponential growth at infinity‎. ‎Using some variational arguments and exploiting the symmetries of the problem‎, ‎we establish a multiplicity result giving two nontrivial solutions‎.

in this paper‎, ‎we prove a multiplicity result for some biharmonic elliptic equation of kirchhoff type and involving nonlinearities with critical exponential growth at infinity‎. ‎using some variational arguments and exploiting the symmetries of the problem‎, ‎we establish a multiplicity result giving two nontrivial solutions‎.

this study attempts to examine the multilingualism in algeria, in other words, the phenomenon of linguistic diversity which characterizes the algerian reality and its relationship. for that matter the article visualizes the linguistic level of learners especially children, highlighting the characteristics of the multiplicity of its causes and manifestations. here, the descriptive methodology is...

unity is one of the most important social issues in the holy religion of islam. unity makes possible entanglement from dependencies, success in settling social issues, and firmness in confronting conspiracies and invasions. since islam is a religion of kindness and brotherhood, it invites its followers to engage in being united, which will, however, never be achieved without resolving conflicts...