{"id":"W4385873547","doi":"10.1090/proc/16646","title":"Gradient higher integrability for double phase problems on metric measure spaces","year":2023,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Calgary","funders":"Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni; Vetenskapsrådet; Istituto Nazionale di Alta Matematica \"Francesco Severi\"","keywords":"Measure (data warehouse); Metric (unit); Phase (matter); Mathematics; Metric space; Mathematical analysis; Physics; Computer science; Economics; Quantum mechanics; Data mining","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":[0.001272954,0.0008337732,0.000664543,0.001409733,0.0006142106,0.001806,0.0008448682,0.0008154989,0.002422545],"category_scores_gemma":[0.003180005,0.0003320293,0.0006953616,0.0003481841,0.002022309,0.002556333,0.002060234,0.001692119,0.0001368103],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001247137,"about_ca_system_score_gemma":0.0004264232,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009274195,"about_ca_topic_score_gemma":0.0008154056,"domain_scores_codex":[0.9997001,0.00007424322,0.00001412472,0.00004696021,0.00009602537,0.00006854978],"domain_scores_gemma":[0.9985084,0.000625342,0.0002687639,0.00007650573,0.0001818662,0.0003390911],"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":[0.00005254355,0.00005395553,0.001080098,0.00008009727,0.0000259018,0.0002843782,0.0002122825,0.01400291,0.01099086,0.9692512,0.0003814801,0.003584345],"study_design_scores_gemma":[0.00003035113,0.00009324169,0.001888001,0.00002443018,0.00001523848,0.0002796001,0.0001418019,0.45688,0.003371481,0.5363605,0.0008897011,0.00002568248],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6994724,0.0008969033,0.2773709,0.001336305,0.00009733,0.00004861877,0.00008545947,0.0001354325,0.02055656],"genre_scores_gemma":[0.979275,0.0002668877,0.0137194,0.00009454616,0.00008259717,0.000040385,0.00006784351,0.00005973345,0.006393553],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002422545,"threshold_uncertainty_score":0.009048641,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1036396527550659,"score_gpt":0.368324029352477,"score_spread":0.2646843765974111,"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."}}