New Super-quadratic Conditions for Asymptotically Periodic Schrödinger Equations
Xianhua Tang · Canadian Mathematical Bulletin · 2016
Abstract We study the semilinear Schrödinger equation wherefis a superlinear, subcritical nonlinearity. It focuses on the casewhereV(x) =V0(x)+V1(x),V0∊C(RN),V0(x) is 1-periodic in each of x1 , x2 , . . . , xN, sup inf , and . A new super-quadratic condition is obtained that is weaker than some well-known results.