Nonexistence Of Ground State Solutions For Generalized Quasilinear Schrodinger Equations Via Dual Approach

We study quasilinear Schrodinger equations of the form -div(A(u)del u) + 1/2A'(u)vertical bar del u vertical bar(2) + V(x)u = h(u), x is an element of R-N, where N >= 3, A is an element of C-1(R, R) is a positive function, V is an element of C-2(RN, R) is a given potential, and h is an element of C-1(R, R) is a suitable nonlinearity. Under some mild assumptions, we establish the nonexistence of ground state solutions for such equations by using the dual variational approach and Pohozaev manifold technique.