Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials
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Date
2018-04-24
Authors
Hou, Gang-Ling
Ge, Bin
Lu, Jian-Fang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This article concerns the fractional Schrödinger type equations
(-∆)αu + V(x)u = ƒ(x, u) in ℝN,
where N ≥ 2, α ∈ (0, 1), (-∆)α stands for the fractional Laplacian, V is a positive continuous potential, ƒ ∈ C(ℝN x ℝ, ℝ). We establish criteria that guarantee the existence of infinitely many solutions by using the genus properties in critical point theory.
Description
Keywords
Fractional Laplacian, Variational method, Sublinear, Genus
Citation
Hou, G. L., Ge, B., & Lu, J. F. (2018). Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials. <i>Electronic Journal of Differential Equations, 2018</i>(97), pp. 1-13.
Rights
Attribution 4.0 International