Sign-changing solutions for quasilinear elliptic equation with critical exponential growth

We study the existence, energy doubling property and asymptotic behavior of sign-changing solutions for N-Laplacian equation of Kirchhoff type ?(a+b f(omega) |& nabla;u|(N)dx)& nabla;Nu = |u|(p-2)u ln|u|(2) + mu g(u),u=0, in omega, on (SIC)omega By constraint variational methods, we apply the constraint minimization arguments to establish the existence of sign-changing solutions and ground state solutions for above problem. Our results extend existing results to the N-Laplacian equation of Kirchhoff type with logarithmic and exponential nonlinearities.