Non-homogeneous fractional Schrödinger equation

César Torres

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arXiv · 1311.0708

Non-homogeneous fractional Schrödinger equation

César Torres

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Abstract

In this article we are interested on the non-homogeneous fractional Schrödinger equation \begin{eqnarray}\label{eq00} &(-Δ)^αu(x) + V(x)u(x) = f(u) + h(x) \mbox{ in } \mathbb{R}^{n}. \end{eqnarray} By using mountain pass Thoerem and Ekeland's variational principle, we prove the existence of two nontrivial solutions for (\ref{eq00}).

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César Torres. 2015-08-26. Non-homogeneous fractional Schrödinger equation. https://arxiv.org/abs/1311.0708

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