Multiple solutions for a class of N-Kirchhoff type equations via variational methods
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.
URI: http://repository.vnu.edu.vn/handle/VNU_123/33072
URI: http://repository.vnu.edu.vn/handle/VNU_123/33072
Nhận xét
Đăng nhận xét