{"paper":{"title":"Multiple Sign Changing Radially Symmetric Solutions in a General Class of Quasilinear Elliptic Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Claudianor O. Alves, J.V.A. Gon\\c{c}alves, K.O. Silva","submitted_at":"2015-02-13T12:34:44Z","abstract_excerpt":"In this paper we prove that the equation $ -( r^\\alpha\\phi(|u'(r)|)u'(r))' = \\lambda r^\\gamma f(u(r)), ~0<r<R$, where $\\alpha, \\gamma, {\\bf{R}}$ are given real numbers, $\\phi : (0, \\infty) \\to (0, \\infty)$ is a suitable twice differentiable function, $\\lambda > 0$ is a real parameter and $f:{\\bf{R}}\\to{\\bf{R}}$ is continuous, admits an infinite sequence of sign-changing solutions satisfying $u'(0) =u(R) =0$. The function $f$ is required to satisfy $tf(t)>0$ for $ t\\neq 0$. Our technique explores fixed point arguments applied to suitable integral equations and shooting arguments. Our main resul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.03962","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"}