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arxiv: 1609.09003 · v3 · pith:MTGGDE5Inew · submitted 2016-09-28 · 🧮 math.AP

Sign-changing solutions for a class of fractional Schr\"odinger equations with vanishing potentials

classification 🧮 math.AP
keywords classequationsfractionalodingerpotentialsschrsign-changingvanishing
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In this paper we consider a class of fractional Schr\"odinger equations with potentials vanishing at infinity. By using a minimization argument and a quantitative deformation Lemma, we prove the existence of a sign-changing solution.

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