{"paper":{"title":"Two-bubble nodal solutions for slightly subcritical Fractional Laplacian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Qianqiao Guo, Yunyun Hu","submitted_at":"2016-02-19T10:26:31Z","abstract_excerpt":"In this paper, we consider the existence of nodal solutions with two bubbles to the slightly subcritical problem with the fractional Laplacian \\begin{equation*} \\left\\{\\aligned &(-\\Delta)^su=|u|^{p-1-\\varepsilon}u\\ \\ \\mbox{in}\\ \\Omega &u=0\\ \\mbox{on}\\ \\partial\\Omega, \\endaligned \\right. \\end{equation*} where $\\Omega$ is a smooth bounded domain in $\\mathbb R^N$, $N>2s$, $0<s<1$, $ p=\\frac{N+2s}{N-2s}$ and $\\varepsilon>0$ is a small parameter, which can be seen as a nonlocal analog of the results of Bartsch, Micheletti and Pistoia (2006) \\cite{Bartsch1}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.06102","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}