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Multiple solutions for asymptotically linear Schro¨dinger equation with sign-changing potentials
International Journal of Statistics and Applied Mathematics · 2016 · Vol. 1(3) · pp. 08–15
Abstract
In this paper,we study the multiple solutions for a class of asymptotically linear Schr¨odinger equations (−∆u + V (x)u = f(x,u), x ∈ RN, u(x) → 0,as |x| → ∞, where the potential V (x) is allowed to be sing-changing, and f(x,u) satisfies the asymptotically linear condition.
Spectral Theory in Mathematical PhysicsAdvanced Mathematical Physics ProblemsQuantum Mechanics and Non-Hermitian PhysicsSign (mathematics)MathematicsClass (philosophy)Linear equationMathematical analysisMathematical physicsComputer science
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