Abstract
This paper is devoted to studying the following nonlinear fractional problem: 0.1{(−Δ)su+u=K(|x|)up,u>0,x∈RN,u(x)∈Hs(RN),\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ \\textstyle\\begin{cases} (-\\Delta )^{s}u+u=K( \\vert x \\vert )u^{p},\\quad u>0, x\\in {\\mathbb{R}}^{N}, \\\\ u(x)\\in H^{s}({\\mathbb{R}}^{N}), \\end{cases} $$\\end{document} where Ngeq 3, 0< s<1, 1< p<frac{N+2s}{N-2s}, K(|x|) is a positive radical function. We constructed infinitely many non-radial solutions of the new type which have a more complex concentration structure for (0.1).
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