{"id":"W2082750537","doi":"10.1016/j.jmaa.2008.03.074","title":"A nonhomogeneous elliptic problem involving critical growth in dimension two","year":2008,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":95,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"University of British Columbia","keywords":"Mathematics; Bounded function; Compact space; Dimension (graph theory); Infinity; Domain (mathematical analysis); Zero (linguistics); Nonlinear system; Exponential growth; Mathematical analysis; Pure mathematics; Class (philosophy); Space (punctuation); Exponential function; Applied mathematics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001021071,0.001073834,0.001443039,0.001897015,0.001832412,0.003246541,0.001062276,0.004200953,0.004782314],"category_scores_gemma":[0.005509556,0.0005253436,0.0007293341,0.0006292273,0.002948374,0.002635762,0.003189622,0.002044521,0.0001798712],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001248062,"about_ca_system_score_gemma":0.0008436582,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002253787,"about_ca_topic_score_gemma":0.001187973,"domain_scores_codex":[0.9997298,0.0001006897,0.00001404339,0.0000539397,0.00004366171,0.00005789496],"domain_scores_gemma":[0.9981235,0.0009663198,0.0002357297,0.00006352401,0.0001605067,0.0004504316],"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":[0.00059062,0.0002710396,0.001990523,0.0004706862,0.0001054863,0.00451843,0.0006575444,0.09987389,0.008221237,0.8691026,0.007127394,0.007070495],"study_design_scores_gemma":[0.000224552,0.0001494198,0.001415125,0.00009231667,0.00006117648,0.0008947254,0.0007993473,0.6177874,0.002083048,0.3727376,0.003675831,0.00007944681],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7781146,0.001972946,0.1279897,0.01376563,0.001296059,0.0002977631,0.0003157659,0.0002081469,0.07603938],"genre_scores_gemma":[0.9678456,0.0004709894,0.01039993,0.0004227844,0.0004600046,0.00009108781,0.0001177133,0.00007426646,0.02011758],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004782314,"threshold_uncertainty_score":0.01599842,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.041759864982103,"score_gpt":0.3312811352317883,"score_spread":0.2895212702496853,"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."}}