New existence criterion of infinitely many solutions for partial discrete Dirichlet problems

F. Gharehgazlouei, Sh. Heidarkhani

In this paper, we present new existence criterion of solutions for partial discrete Dirichlet problems. More precisely, under appropriate assumptions on the nonlinearities that possesses the appropriate behaviors related to the eigenvalues at infinity, the existence result of infinitely many solutions is discussed.

Tbilisi Mathematical Journal, Vol. 13(3) (2020), pp. 43-51