{"paper":{"title":"Blow-up solutions for linear perturbations of the Yamabe equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Angela Pistoia, J\\'er\\^ome V\\'etois, Pierpaolo Esposito","submitted_at":"2012-10-23T08:51:02Z","abstract_excerpt":"For a smooth, compact Riemannian manifold (M,g) of dimension $N \\geg 3$, we are interested in the critical equation $$\\Delta_g u+(N-2/4(N-1) S_g+\\epsilon h)u=u^{N+2/N-2} in M, u>0 in M,$$ where \\Delta_g is the Laplace--Beltrami operator, S_g is the Scalar curvature of (M,g), $h\\in C^{0,\\alpha}(M)$, and $\\epsilon$ is a small parameter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.6165","kind":"arxiv","version":2},"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"}