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• W2560366957 abstract "This paper is concerned with the following fractional Schrödinger equation $$begin{aligned} left{ begin{array}{ll} (-Delta )^{s} u+u= k(x)f(u)+h(x) text{ in } mathbb {R}^{N} uin H^{s}(mathbb {R}^{N}), , u>0 text{ in } mathbb {R}^{N}, end{array} right. end{aligned}$$ where $$sin (0,1),N> 2s, (-Delta )^{s}$$ is the fractional Laplacian, k is a bounded positive function, $$hin L^{2}(mathbb {R}^{N}), hnot equiv 0$$ is nonnegative and f is either asymptotically linear or superlinear at infinity. By using the s-harmonic extension technique and suitable variational methods, we prove the existence of at least two positive solutions for the problem under consideration, provided that $$|h|_{2}$$ is sufficiently small." @default.
• W2560366957 created "2016-12-16" @default.
• W2560366957 creator A5022045403 @default.
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• W2560366957 date "2017-04-03" @default.
• W2560366957 modified "2023-10-16" @default.
• W2560366957 title "Multiple Solutions for a Class of Nonhomogeneous Fractional Schrödinger Equations in $$mathbb {R}^{N}$$ R N" @default.
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• W2560366957 doi "https://doi.org/10.1007/s10884-017-9590-6" @default.
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