{"id":"W4220801244","doi":"10.3934/era.2022084","title":"Qualitative properties of stable solutions to some supercritical problems","year":2022,"lang":"en","type":"article","venue":"Electronic Research Archive","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Mathematics; Combinatorics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.003383979,0.0001298452,0.0002733774,0.0004160028,0.0008273404,0.00003357337,0.0005017269,0.00002299376,0.0004402767],"category_scores_gemma":[0.002470032,0.0001217154,0.00009923416,0.0006643362,0.0002546475,0.0001411232,0.0007846876,0.001015496,0.0000731927],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004095611,"about_ca_system_score_gemma":0.001107608,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000424175,"about_ca_topic_score_gemma":0.0006414027,"domain_scores_codex":[0.9940209,0.002573544,0.0004179804,0.0003479268,0.001288301,0.001351317],"domain_scores_gemma":[0.9978061,0.001286603,0.00002240626,0.0004223098,0.0002738644,0.0001886613],"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":[0.0001028821,0.0005411739,0.000002672683,0.00008061241,0.00006277053,0.0000011915,0.0218417,0.0001014236,0.246918,0.7275908,0.002666418,0.00009032028],"study_design_scores_gemma":[0.0003571079,0.001520131,0.00001330514,0.00004372257,0.00001576657,0.000004509732,0.009216007,0.001991289,0.0278083,0.9555262,0.003330472,0.0001732121],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9661051,0.0006196644,0.02191579,0.005744562,0.00007830008,0.002795722,0.0003667582,0.0001149273,0.002259161],"genre_scores_gemma":[0.9954736,0.00001879146,0.002209502,0.0000297821,0.00007951479,0.001206141,0.00002947303,0.00003938113,0.0009138425],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2279354,"threshold_uncertainty_score":0.6363317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.3061394017547016,"score_gpt":0.4656680011530878,"score_spread":0.1595285993983862,"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."}}