Multiple solutions for a class of N-Kirchhoff type equations via variational methods
 Title:  Multiple solutions for a class of N-Kirchhoff type equations via variational methods  Authors:  Nguyen, Thanh Chung Hoang, Quoc Toan  Keywords:  N-Kirchhoff type equations;Variational method;Multiple solutions  Issue Date:  2015  Publisher:  SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY  Citation:  ISIKNOWLEDGE  Abstract:  In  this article, we consider the following N-Kirchhoff type problem   {-M(integral(Omega)vertical bar del u vertical bar(N) dx) Delta(u)(N) =  lambda f(x, u) + mu g(x,u) in Omega,   u = 0 on partial derivative Omega,   where Omega is a bounded smooth domain of R-N, N >= 2, M : R-0(+)  -> R is a continuous function, Delta(N)u = div (vertical bar del u  vertical bar(N-2)del u), f, g : Omega x R -> R are two Caratheodory  functions and lambda, mu are positive parameters. Using variational  method, we show the existence of at least three weak solutions for the  problem.  Description:  REVISTA ...