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2009, 2009(Special): 669-677. doi: 10.3934/proc.2009.2009.669

Sign--changing solutions for an asymptotically linear Schrödinger equation

Addolorata Salvatore 1,

1. 

Dipartimento di Matematica, Università degli Studi di Bari, Via E. Orabona 4, 70125 Bari

Received  July 2008 Revised  April 2009 Published  September 2009

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.
Keywords: linking theorem, sign--changing solution, Schrödinger equation.
Mathematics Subject Classification: Primary: 58E05; Secondary: 35J20, 35J60, 47J30.
Citation: Addolorata Salvatore. Sign--changing solutions for an asymptotically linear Schrödinger equation. Conference Publications, 2009, 2009 (Special) : 669-677. doi: 10.3934/proc.2009.2009.669
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