Zhang, YoupeiTang, XianhuaZhang, Jian2022-06-102022-06-102017-09-08Zhang, Y., Tang, X., & Zhang, J. (2017). Existence of infinitely many solutions for fractional p-Laplacian equations with sign-changing potential. Electronic Journal of Differential Equations, 2017(208), pp. 1-14.1072-6691https://hdl.handle.net/10877/15902In this article, we prove the existence of infinitely many solutions for the fractional p-Laplacian equation (-∆)spu + V(x)|u|p-2 u = ƒ(x, u), x ∈ ℝN where s ∈ (0, 1), 2 ≤ p < ∞. Based on a direct sum decomposition of a space Es, we investigate the multiplicity of solutions for the fractional p-Laplacian equation in ℝN. The potential V is allowed to be sign-changing, and the primitive of the nonlinearity ƒ is of super-p growth near infinity in u and allowed to be sign-changing. Our assumptions are suitable and different from those studied previously.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalFractional p-LaplacianMultiple solutionsVariational methodsSign-changing potentialArticle