Existence Study Of Solutions To The Schrodinger Equation With Local Hyperquadratic Conditions

In this paper,we study the following semilinear Schrodinger equation(?)where V ?C(RN,R)is allowed to be sign-changing.By using link geometry and variational methods,we prove the existence of nontrivial solutions for the semilinear Schrodinger equation with global asymptotic quadratic condition and local super-quadratic condition.Under different conditions,we obtain new results based on Tang,Lin and Yu[38].