Infinitely many weak solutions for a fractional Schrödinger equation

被引：0
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作者：
Wei Dong
Jiafa Xu
Zhongli Wei
机构：
[1] Hebei University of Engineering,Department of Mathematics
[2] Shandong University,School of Mathematics
[3] Shandong Jianzhu University,Department of Mathematics
来源：
Boundary Value Problems | / 2014卷
关键词：
fractional Laplacian; subcritical nonlinearity; fountain theorem; weak solution;
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学科分类号：
摘要：
In this paper we are concerned with the fractional Schrödinger equation (−Δ)αu+V(x)u=f(x,u), x∈RN, where 0<α<1, N>2α, (−Δ)α stands for the fractional Laplacian of order α, V is a positive continuous potential, and f is a continuous subcritical nonlinearity. We obtain the existence of infinitely many weak solutions for the above problem by the fountain theorem in critical point theory.
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