{"id":"W3102057457","doi":"","title":"SERRIN’S OVERDETERMINED PROBLEM AND CONSTANT MEAN CURVATURE SURFACES","year":2016,"lang":"en","type":"article","venue":"","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":43,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Overdetermined system; Mathematics; Bounded function; Mean curvature; Constant (computer programming); Ball (mathematics); Domain (mathematical analysis); Boundary (topology); Mathematical analysis; Omega; Constant curvature; Pure mathematics; Dirichlet problem; Euclidean space; Neumann boundary condition; Curvature; Geometry; Boundary value problem; Physics","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":[0.0001299553,0.0001249203,0.0001662305,0.0000333398,0.000058868,0.00003456982,0.00007946918,0.00006651816,0.0005331686],"category_scores_gemma":[0.0001354382,0.00007074994,0.0000339936,0.00005460738,0.00007882181,0.0001185707,0.00006605628,0.0000514445,0.00005067544],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001765102,"about_ca_system_score_gemma":0.00003142896,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001927467,"about_ca_topic_score_gemma":0.0006541811,"domain_scores_codex":[0.999213,0.00004552169,0.0002151413,0.0001876438,0.0001546284,0.000184112],"domain_scores_gemma":[0.999265,0.0003052099,0.00006879555,0.0002131792,0.00006127192,0.00008653203],"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":[0.00003709022,0.0001536152,0.002577059,0.00009785231,0.00009459529,0.000006911642,0.0005886785,2.849308e-7,0.08762089,0.8978763,0.004100218,0.006846495],"study_design_scores_gemma":[0.002412501,0.0001973086,0.00203616,0.0002783228,0.0001432547,0.00002715147,0.000149866,0.0009726271,0.03386863,0.9518871,0.007351642,0.0006754842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9466178,0.00004224989,0.01289268,0.002086633,0.0001370007,0.0005736661,0.00008734379,0.0003135793,0.037249],"genre_scores_gemma":[0.9708033,0.00001241294,0.02187325,0.00005276354,0.00005143396,0.00001128531,0.000002375519,0.00002052218,0.007172655],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.05401074,"threshold_uncertainty_score":0.5837822,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0449139223291825,"score_gpt":0.3096447349322551,"score_spread":0.2647308126030726,"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."}}