{"id":"W4401367049","doi":"10.3934/cam.2024026","title":"On an anisotropic $ \\overset{\\rightarrow }{p}(\\cdot) $-Laplace equation with variable singular and sublinear nonlinearities","year":2024,"lang":"en","type":"article","venue":"Communications in Analysis and Mechanics","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Athabasca University","funders":"","keywords":"Sublinear function; Singularity; Variable (mathematics); Mathematics; Laplace transform; Mathematical analysis; Anisotropy; Laplace's equation; Interval (graph theory); Combinatorics; Mathematical physics; Physics; Quantum mechanics; Partial differential equation","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":[0.0005285847,0.0001709272,0.0002980315,0.000506537,0.0002456028,0.0002570468,0.0002616632,0.0001004039,0.00006582784],"category_scores_gemma":[0.0002051688,0.0001479341,0.00005269464,0.001183184,0.00007453962,0.0002579957,0.0001318789,0.0002828041,0.000005109729],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006334813,"about_ca_system_score_gemma":0.00008219506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001965181,"about_ca_topic_score_gemma":0.002710819,"domain_scores_codex":[0.9987326,0.0002320331,0.0003375671,0.000310193,0.0002139195,0.0001736745],"domain_scores_gemma":[0.9980893,0.00058525,0.00007839817,0.001055345,0.0001067502,0.00008502077],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001705056,0.0002402453,0.0001147526,0.00005177508,0.000273998,0.000002075967,0.0005658397,0.0002764132,0.0005244251,0.9965863,0.00002312089,0.001324064],"study_design_scores_gemma":[0.0002683812,0.0001412995,0.0000668389,0.00009363735,0.0008281796,0.000002992918,0.0003247171,0.8389201,0.0001722741,0.1579736,0.001028461,0.0001794425],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.245294,0.0009875959,0.7514051,0.000921249,0.00007253033,0.0003993289,0.00009116173,0.0001835269,0.000645522],"genre_scores_gemma":[0.8540547,0.0005807658,0.1446978,0.00006030518,0.0000309911,0.00003433646,0.0002996454,0.00002965303,0.0002117265],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8386437,"threshold_uncertainty_score":0.6032577,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05996241838245342,"score_gpt":0.3378461676317145,"score_spread":0.2778837492492611,"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."}}