{"paper":{"title":"Positive periodic solutions to an indefinite Minkowski-curvature equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alberto Boscaggin, Guglielmo Feltrin","submitted_at":"2018-05-17T09:00:02Z","abstract_excerpt":"We investigate the existence, non-existence, multiplicity of positive periodic solutions, both harmonic (i.e., $T$-periodic) and subharmonic (i.e., $kT$-periodic for some integer $k \\geq 2$) to the equation \\begin{equation*} \\Biggl{(} \\dfrac{u'}{\\sqrt{1-(u')^{2}}} \\Biggr{)}' + \\lambda a(t) g(u) = 0, \\end{equation*} where $\\lambda > 0$ is a parameter, $a(t)$ is a $T$-periodic sign-changing weight function and $g \\colon \\mathopen{[}0,+\\infty\\mathclose{[} \\to \\mathopen{[}0,+\\infty\\mathclose{[}$ is a continuous function having superlinear growth at zero. In particular, we prove that for both $g(u)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.06659","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"}