Abstract
AbstractWe study the semilinear Schrödinger equationwherefis 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, supinf, and. A new super-quadratic condition is obtained that is weaker than some well-known results.
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