{"id":"W2516458758","doi":"10.1007/s11118-004-6318-0","title":"Lemmes de décomposition appliqués à des inégalités de type Hardy–Sobolev","year":2005,"lang":"fr","type":"article","venue":"Potential Analysis","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Moncton","funders":"","keywords":"Nabla symbol; Omega; Physics; Sobolev space; Combinatorics; Mathematics; Mathematical analysis","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":[0.004695577,0.004672746,0.002108772,0.005263623,0.002149117,0.005056272,0.002010565,0.005441628,0.01250627],"category_scores_gemma":[0.01275936,0.001350857,0.002993748,0.002041341,0.005531386,0.008249242,0.004421316,0.01196011,0.002120928],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003898798,"about_ca_system_score_gemma":0.00145403,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007220298,"about_ca_topic_score_gemma":0.003418873,"domain_scores_codex":[0.9983127,0.0009021519,0.00006970688,0.0002517174,0.0003440726,0.0001196799],"domain_scores_gemma":[0.9944003,0.003629161,0.0003708714,0.0001641369,0.0006328654,0.0008025424],"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":[0.000376986,0.0002189494,0.0009907306,0.0006073231,0.0002281195,0.0008764743,0.0009028623,0.01456411,0.008470289,0.9465672,0.007941375,0.01825573],"study_design_scores_gemma":[0.0002565719,0.0002282294,0.004184293,0.0002218569,0.0001215168,0.0009063229,0.0009053999,0.2443718,0.004165348,0.72196,0.02250828,0.0001703033],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2212064,0.01112552,0.644495,0.01725744,0.003513843,0.0002508114,0.001461125,0.0005303037,0.1001596],"genre_scores_gemma":[0.6397972,0.01766784,0.1240107,0.003204407,0.007648763,0.001228925,0.002943715,0.001068952,0.2024295],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01250627,"threshold_uncertainty_score":0.04183763,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04647689554855075,"score_gpt":0.3442905120284119,"score_spread":0.2978136164798612,"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."}}