We study for nonlinear Kirchhoff's model of pseudo parabolic type by considering its two different problems. style='text-indent:20px;'>\begin{document}$ \bullet $\end{document} For initial value problem, we obtain the results on existence and regularity solutions. Moreover, also prove that solutions <inli...

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.