{"id":"W3117678117","doi":"10.3934/cpaa.2020293","title":"Sub-solutions and a point-wise Hopf's lemma for fractional &lt;inline-formula&gt;&lt;tex-math id=\"M1\"&gt;$ p $&lt;/tex-math&gt;&lt;/inline-formula&gt;-Laplacian","year":2020,"lang":"en","type":"article","venue":"Communications on Pure &amp Applied Analysis","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Lemma (botany); Mathematics; Pure mathematics; Mathematical analysis; Applied mathematics; Combinatorics","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":[0.001004533,0.0007218376,0.0005408136,0.001355994,0.0009102009,0.001231385,0.0007668033,0.0008225596,0.007318689],"category_scores_gemma":[0.002619295,0.0002201779,0.001218115,0.0005162632,0.001667509,0.002651864,0.002639684,0.001855833,0.0006413491],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001028319,"about_ca_system_score_gemma":0.0007164328,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001456427,"about_ca_topic_score_gemma":0.001009269,"domain_scores_codex":[0.9997175,0.00007117666,0.00001595366,0.00006436624,0.00008062396,0.00005025092],"domain_scores_gemma":[0.9990772,0.0003275838,0.0001073074,0.00005946426,0.0002866719,0.0001417555],"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":[0.00002714346,0.00001799349,0.0003601113,0.00007754015,0.00002086648,0.0002036762,0.0002323609,0.003021296,0.006873792,0.981001,0.001817947,0.006346246],"study_design_scores_gemma":[0.00002205943,0.0001018777,0.001060986,0.00005044996,0.0000469326,0.0004300972,0.000310623,0.1169895,0.00609253,0.8625234,0.0123357,0.00003591772],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1667142,0.002848143,0.7088795,0.004056336,0.0007865561,0.0001152061,0.0004137174,0.0002521714,0.1159342],"genre_scores_gemma":[0.8514208,0.002520647,0.07344848,0.001193779,0.0005155897,0.0002631906,0.000333386,0.000304593,0.06999963],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007318689,"threshold_uncertainty_score":0.02448338,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03591084971973917,"score_gpt":0.2762600621925559,"score_spread":0.2403492124728167,"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."}}