A critical point approach for gradient-type systems with oscillatory nonlinearities on the Sierpinski gasket

S. Heidarkhani, A.L.A. De Araujo, S. Moradi, S.A. Tersian

In this article we establish the existence of at least one weak solution for gradient-type systems with oscillatory nonlinearities on the Sierpinski Gasket. We use variational methods for smooth functionals defined on reflexive Banach spaces, and assumptions on the asymptotic behaviour of the nonlinear data. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 69-84