{"id":"W2078526850","doi":"10.1007/s00029-012-0103-5","title":"Existence of a ground state and scattering for a nonlinear Schrödinger equation with critical growth","year":2012,"lang":"en","type":"article","venue":"Selecta Mathematica","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":38,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Ground state; Nonlinear system; Nonlinear Schrödinger equation; Perturbation (astronomy); Scattering; Physics; Schrödinger equation; Perturbation theory (quantum mechanics); Energy (signal processing); Mathematics; Mathematical physics; Mathematical analysis; Quantum mechanics","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":[0.001755584,0.001500023,0.001078799,0.002917694,0.00275509,0.003979128,0.001445338,0.00358839,0.005341285],"category_scores_gemma":[0.00670945,0.000915958,0.001383892,0.001005426,0.004564965,0.005486576,0.003809574,0.003547247,0.0005964012],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001543698,"about_ca_system_score_gemma":0.001447078,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00158389,"about_ca_topic_score_gemma":0.0009980666,"domain_scores_codex":[0.9994856,0.000163674,0.00003969477,0.00008222444,0.0001358297,0.00009292812],"domain_scores_gemma":[0.9972546,0.001461448,0.0003019436,0.000156852,0.0003193787,0.0005057216],"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":[0.00009228958,0.00005646232,0.0005971725,0.00008006979,0.00002345342,0.0003741178,0.0004376891,0.003248793,0.004115399,0.9884586,0.001087945,0.001428024],"study_design_scores_gemma":[0.0000648133,0.00004475174,0.0004787356,0.00003194425,0.00001729516,0.0003697214,0.0002380693,0.08900335,0.001193153,0.9078921,0.0006155628,0.00005052365],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7546167,0.001016316,0.1624284,0.008275758,0.0005066539,0.0001881206,0.0004395807,0.0003681373,0.07216027],"genre_scores_gemma":[0.9598425,0.0005249838,0.0220453,0.0005646007,0.0003645823,0.0001492217,0.0003985351,0.0001579979,0.01595244],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.005341285,"threshold_uncertainty_score":0.0178684,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06914208092555753,"score_gpt":0.337899234360457,"score_spread":0.2687571534348995,"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."}}