{"id":"W2964144782","doi":"10.1016/j.jde.2014.08.002","title":"Regularity of the extremal solutions associated to elliptic systems","year":2014,"lang":"en","type":"article","venue":"Journal of Differential Equations","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta; University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; University of Alberta","keywords":"Bounded function; Mathematics; Domain (mathematical analysis); Regular polygon; Zero (linguistics); Boundary (topology); Dirichlet boundary condition; Combinatorics; Mathematical analysis; Pure mathematics; 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":[0.00156001,0.0009484582,0.0012192,0.003038681,0.00114056,0.003025176,0.001309323,0.001613911,0.00361596],"category_scores_gemma":[0.007561402,0.0006951993,0.0008165563,0.0007547584,0.00301805,0.00308225,0.002718661,0.002503166,0.0002946302],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001264372,"about_ca_system_score_gemma":0.0005677795,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007276211,"about_ca_topic_score_gemma":0.0004846641,"domain_scores_codex":[0.9994104,0.000219832,0.00003735136,0.0001020338,0.0001101725,0.0001201894],"domain_scores_gemma":[0.9972934,0.001042201,0.0005964809,0.0001513846,0.0003854352,0.0005311438],"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":[0.0002118872,0.00008706329,0.002054375,0.0001131982,0.00005251137,0.0003024236,0.0003584543,0.01251968,0.005964749,0.9721807,0.00124404,0.004910914],"study_design_scores_gemma":[0.0000523095,0.00008311166,0.002361969,0.00006250826,0.00002675519,0.0002897357,0.0003241905,0.1706808,0.001511717,0.8232934,0.001258808,0.00005466145],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8736081,0.001242581,0.09432591,0.002481767,0.0002370463,0.00005757458,0.0002896933,0.0001308634,0.02762638],"genre_scores_gemma":[0.987033,0.0004837296,0.005412803,0.0001090474,0.0002118098,0.000034709,0.0002288014,0.00005884603,0.006427286],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00361596,"threshold_uncertainty_score":0.01209652,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08648780419484806,"score_gpt":0.3120473072723966,"score_spread":0.2255595030775485,"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."}}