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solutions to the matrix sine-gordon equation
Sign--changing solutions for an
asymptotically linear Schrödinger equation
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.