Non-homogeneous fractional Schrödinger equation

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}).

in Journal of Fractional Calculus and Applications 2015

References in corpus (2)

• Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
• On fractional Schrödinger equations in (\mathbb{R}^N) without the Ambrosetti-Rabinowitz condition

Cited by in corpus (3)

• Multiple solutions for a class of nonhomogeneous fractional Schrödinger equations in ${\mathbb{R}}^N$
• Solutions of the fractional Schrödinger equation with sign-changing nonlinearity
• The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities