{"id":"W2294510444","doi":"10.1007/s11854-019-0008-8","title":"Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3","year":2019,"lang":"en","type":"article","venue":"Journal d Analyse Mathématique","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"Agence Nationale de la Recherche","keywords":"Lambda; Domain (mathematical analysis); Bounded function; Dimension (graph theory); Omega; Neumann boundary condition; Function (biology); Mathematics; Boundary (topology); Combinatorics; Mathematical physics; Mathematical analysis; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001245989,0.001338251,0.001396042,0.00216956,0.001830422,0.003436601,0.001482876,0.003255063,0.007175363],"category_scores_gemma":[0.005915565,0.0006827869,0.0007995585,0.0006541643,0.002731505,0.003329803,0.003784311,0.002632362,0.0003310772],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00172904,"about_ca_system_score_gemma":0.001335557,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003623486,"about_ca_topic_score_gemma":0.002292938,"domain_scores_codex":[0.999738,0.0000867775,0.00001506067,0.00004229774,0.00004154464,0.00007625789],"domain_scores_gemma":[0.9985238,0.0006325372,0.0002392968,0.00003660347,0.0001839423,0.0003839255],"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":[0.0003778388,0.00009725738,0.0009300551,0.0003095532,0.00005923927,0.0005815473,0.0003986678,0.04193791,0.003814652,0.9441094,0.002919106,0.00446482],"study_design_scores_gemma":[0.0001517826,0.0001004004,0.0006908192,0.0001058642,0.0000335362,0.0001924024,0.0005281913,0.3705327,0.0009729157,0.6244344,0.002199716,0.00005720324],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6622359,0.004224915,0.2394518,0.007395838,0.0009248241,0.0002237872,0.000449078,0.0002980358,0.08479593],"genre_scores_gemma":[0.943887,0.0009295788,0.02324499,0.0005480492,0.0003725668,0.0001917338,0.000330985,0.000114647,0.03038041],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007175363,"threshold_uncertainty_score":0.02400398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06812080445936064,"score_gpt":0.3701067372465398,"score_spread":0.3019859327871791,"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."}}