{"paper":{"title":"Sign changing solutions of p-fractional equations with concave-convex nonlinearities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Debangana Mukherjee, Mousomi Bhakta","submitted_at":"2017-03-24T13:30:58Z","abstract_excerpt":"In this article we study the existence of sign changing solution of the following p-fractional problem with concave-critical nonlinearities: \\begin{eqnarray*}\n  (-\\Delta)^s_pu &=& \\mu |u|^{q-1}u + |u|^{p^*_s-2}u \\quad\\mbox{in}\\quad \\Omega, u&=&0\\quad\\mbox{in}\\quad\\mathbb{R}^N\\setminus\\Omega, \\end{eqnarray*} where $s\\in(0,1)$ and $p\\geq 2$ are fixed parameters, $0<q<p-1$, $\\mu\\in\\mathbb{R}^+$ and $p_s^*=\\frac{Np}{N-ps}$. $\\Omega$ is an open, bounded domain in $\\mathbb{R}^N$ with smooth boundary with $N>ps$ ."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.08404","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"}