{"id":"W4408126745","doi":"10.1080/00036811.2025.2473492","title":"Singular <i>p(x)</i> -Laplacian equation with application to boundary layer theory","year":2025,"lang":"en","type":"article","venue":"Applicable Analysis","topic":"Differential Equations and Numerical Methods","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Athabasca University","funders":"","keywords":"Mathematics; Mathematical analysis; p-Laplacian; Boundary layer; Laplace operator; Singular solution; Boundary value problem; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007471587,0.0001771558,0.0004210554,0.0004199671,0.0002333985,0.0001089731,0.0002272261,0.00008187176,0.0001566358],"category_scores_gemma":[0.0001424964,0.000144612,0.0001609743,0.003718235,0.00004777357,0.00007976232,0.00006338563,0.0001069385,0.00006423839],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007122549,"about_ca_system_score_gemma":0.00004529857,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001072618,"about_ca_topic_score_gemma":0.00008414456,"domain_scores_codex":[0.9985656,0.0001468266,0.0003380035,0.0004312269,0.0002742763,0.00024408],"domain_scores_gemma":[0.998446,0.0004968651,0.0001192156,0.000697957,0.0001442231,0.00009573438],"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":[0.0001437915,0.0003625198,0.001563441,0.00005565936,0.001742324,9.875687e-7,0.0001801351,0.001130263,0.005474624,0.8105155,0.001062536,0.1777683],"study_design_scores_gemma":[0.0004164782,0.00008233843,0.001113461,0.000024415,0.00462173,4.361201e-7,0.000213203,0.02318728,0.007862108,0.9068552,0.05521065,0.0004126561],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01932462,0.00003804386,0.9669104,0.0005053294,0.00001651182,0.0004504891,0.000005047388,0.0001172209,0.01263238],"genre_scores_gemma":[0.7906997,0.000004912457,0.2040563,0.0009661184,0.00004649959,0.0005424925,0.00006061888,0.00002488045,0.003598484],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7713751,"threshold_uncertainty_score":0.5897107,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02427856477973744,"score_gpt":0.3389416154564775,"score_spread":0.3146630506767401,"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."}}