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- W1863945677 abstract "This article concerns the fractional elliptic equations begin{equation*}(-Delta)^{s}u+lambda V(x)u=f(u), quad uin H^{s}(mathbb{R}^N), end{equation*}where $(-Delta)^{s}$ ($sin (0,,,1)$) denotes the fractional Laplacian, $lambda >0$ is a parameter, $Vin C(mathbb{R}^N)$ and $V^{-1}(0)$ has nonempty interior. Under some mild assumptions, we establish the existence of nontrivial solutions. Moreover, the concentration of solutions is also explored on the set $V^{-1}(0)$ as $lambdatoinfty$." @default.
- W1863945677 created "2016-06-24" @default.
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- W1863945677 date "2015-02-08" @default.
- W1863945677 modified "2023-10-18" @default.
- W1863945677 title "Existence and concentration of solutions for a fractional Schrodinger equations with sublinear nonlinearity" @default.
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- W1863945677 doi "https://doi.org/10.48550/arxiv.1502.02221" @default.
- W1863945677 hasPublicationYear "2015" @default.
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