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Sign--changing solutions for an asymptotically linear Schrödinger equation

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  • We study an asymptotically linear Schrödinger equation in the whole Euclidean space $\mathbb{R}^N$. By using a suitable linking theorem we prove that the problem admits not only the trivial solution but also either a sign--changing solution or one positive and one negative solution.
    Mathematics Subject Classification: Primary: 58E05; Secondary: 35J20, 35J60, 47J30.

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