{"id":"W4404908694","doi":"10.1112/jlms.70040","title":"The number of positive solutions for n$n$‐coupled elliptic systems","year":2024,"lang":"en","type":"article","venue":"Journal of the London Mathematical Society","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China","keywords":"Mathematics; Pure 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":[0.002626262,0.0005592617,0.001082391,0.001742786,0.001622317,0.002136,0.001483003,0.001994369,0.004085269],"category_scores_gemma":[0.01047381,0.0006705084,0.0006396293,0.000533004,0.003512541,0.002802504,0.002242337,0.001060198,0.000209396],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001059311,"about_ca_system_score_gemma":0.0007209888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003297828,"about_ca_topic_score_gemma":0.0002534503,"domain_scores_codex":[0.999154,0.0002948594,0.0000624007,0.0001498902,0.0002156306,0.0001232872],"domain_scores_gemma":[0.9943433,0.003389168,0.0009599386,0.0002454462,0.000555785,0.0005064516],"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":[0.0006111723,0.000206047,0.0132563,0.00052985,0.0002200099,0.001245646,0.001075223,0.1731721,0.04763829,0.7432621,0.00180043,0.01698274],"study_design_scores_gemma":[0.00005117907,0.0001374357,0.003506177,0.0000705713,0.00003695336,0.0006615512,0.0004057636,0.7838413,0.0103886,0.1994231,0.001383889,0.00009340641],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8956507,0.0004267776,0.09172644,0.0008327111,0.0000848883,0.00006217773,0.00009162836,0.00006282534,0.01106193],"genre_scores_gemma":[0.9854875,0.0001296528,0.01125256,0.00006017864,0.00003811855,0.00007356139,0.00005258649,0.00002447076,0.002881499],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004085269,"threshold_uncertainty_score":0.01388913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05200831703362513,"score_gpt":0.3503779265170771,"score_spread":0.2983696094834519,"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."}}