{"id":"W2907295472","doi":"10.1016/j.jde.2018.12.002","title":"Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part","year":2019,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Compact space; Bounded function; Riemannian manifold; Scalar curvature; Mathematical analysis; Sign (mathematics); Manifold (fluid mechanics); Blowing up; Curvature; Constant (computer programming); Scalar (mathematics); Prescribed scalar curvature problem; Type (biology); Pure mathematics; Mathematical physics; Sectional curvature; Geometry","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001655619,0.001718289,0.001234363,0.002506416,0.001509467,0.00319853,0.0020582,0.001730667,0.005340172],"category_scores_gemma":[0.008568633,0.0006447834,0.001314793,0.0007919846,0.004118332,0.005906156,0.003911391,0.002990158,0.0005682113],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001200707,"about_ca_system_score_gemma":0.0009701294,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009435756,"about_ca_topic_score_gemma":0.0007027703,"domain_scores_codex":[0.9992256,0.000270324,0.00005430135,0.0001199597,0.0001957794,0.0001338997],"domain_scores_gemma":[0.9953049,0.001832698,0.0007374365,0.0002660405,0.0008537913,0.001005111],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001375686,0.00008369311,0.0006083249,0.00009064161,0.00002927067,0.0003724253,0.0005539933,0.00351508,0.008168547,0.981659,0.001238598,0.003542808],"study_design_scores_gemma":[0.00006334529,0.0001114382,0.001215321,0.00002928485,0.00002121,0.0004453008,0.0003237833,0.07253307,0.002262762,0.9212557,0.001689136,0.00004958207],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7087225,0.00120485,0.2337008,0.003641505,0.0005071494,0.00009429992,0.0003127978,0.00032712,0.05148889],"genre_scores_gemma":[0.9561504,0.0005911124,0.0164966,0.0004940271,0.0003524231,0.00006849269,0.0004075769,0.0002840129,0.02515532],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005340172,"threshold_uncertainty_score":0.01786458,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07118154846459591,"score_gpt":0.3286293935228218,"score_spread":0.2574478450582259,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}