{"paper":{"title":"On a generalized pseudorelativistic Schr\\\"odinger equation with supercritical growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Simone Secchi","submitted_at":"2017-08-11T09:14:31Z","abstract_excerpt":"We prove that the generalized pseudorelativistic equation $$ \\left( -c^2 \\Delta + m^{2} c^{\\frac{2}{1-s}} \\right)^{s} u - m^{2s} c^{\\frac{2s}{1-s}} u +\\mu u = |u|^{p-1} u $$ can be solved for large values of the \"light speed\" $c$ even when $p$ crosses the critical value for the fractional Sobolev embedding."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03479","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"}