{"id":"W4402877810","doi":"10.28924/2291-8639-22-2024-164","title":"Multiplicity of Positive Solutions for a Fractional Elliptic System With Strongly Coupled Critical Terms","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Nonlinear Differential Equations Analysis","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Multiplicity (mathematics); Fractional calculus; Pure mathematics; Mathematical analysis; Applied mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003817186,0.000108422,0.0003343048,0.0006346822,0.0001138134,0.0001103032,0.0001836261,0.00004631427,0.00004381437],"category_scores_gemma":[0.0001172583,0.00008236853,0.0003779213,0.0005093247,0.0001072826,0.0001669802,0.00003058689,0.0001237834,0.000001613769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001035414,"about_ca_system_score_gemma":0.00008668335,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003832609,"about_ca_topic_score_gemma":0.0000530198,"domain_scores_codex":[0.998625,0.00003222347,0.0006188695,0.0001682683,0.0004405503,0.0001150715],"domain_scores_gemma":[0.9969971,0.001169124,0.0003085785,0.0001267027,0.001323301,0.00007523843],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001174617,0.000611319,0.001737252,0.000161696,0.01306231,0.000007268161,0.0001873192,0.003448551,0.003317087,0.9746382,0.00007278478,0.002638794],"study_design_scores_gemma":[0.0007690379,0.0001927367,0.004921858,0.0003794873,0.01169954,0.0001244695,0.001131976,0.9574175,0.0005476664,0.02206476,0.0005023186,0.0002486763],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03711619,0.0001353511,0.961437,0.0006902196,0.00004755993,0.0001598833,0.0003173305,0.00001528475,0.00008119645],"genre_scores_gemma":[0.9719223,0.00002539945,0.02759109,0.000006918211,0.0002842501,0.00005385648,0.00005415377,0.00001174216,0.0000502772],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9539689,"threshold_uncertainty_score":0.3358891,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02536245771094629,"score_gpt":0.3507560542765442,"score_spread":0.3253935965655979,"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."}}