Worldwide trends in diabetes prevalence and treatment from 1990 to 2022: a pooled analysis of 1108 population-representative studies with 141 million participants.

Zhou B., Rayner A. W., Gregg E. W., Sheffer K. E., Carrillo-Larco R. M., Bennett J. E., ...More

Lancet (London, England), 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2024
  • Doi Number: 10.1016/s0140-6736(24)02317-1
  • Journal Name: Lancet (London, England)
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, PASCAL, Abstracts in Social Gerontology, Aquatic Science & Fisheries Abstracts (ASFA), Artic & Antarctic Regions, BIOSIS, Business Source Elite, Business Source Premier, CAB Abstracts, CINAHL, Food Science & Technology Abstracts, Psycinfo, Public Affairs Index, Veterinary Science Database
  • Karadeniz Technical University Affiliated: Yes

Abstract

We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where both the positive and negative part of the solution blow up. This is the first result concerning residual mass for the Sinh-Gordon equation showing in particular that the concentration-compactness theory of Brezis-Merle can not be extended to this class of problems.