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Extremal functions for Trudinger–Moser inequalities with nonnegative weights

Using blow-up analysis, the author proves the existence of extremal functions for Trudinger–Moser inequalities with nonnegative weights on bounded Euclidean domains or compact Riemannian surfaces. This extends recent results of Yang (J. Differ. Equ. 258:3161–3193, 2015) and Yang–Zhu (Proc. Am. Math....

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Detalles Bibliográficos
Autor principal: Hou, Songbo
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5970203/
https://www.ncbi.nlm.nih.gov/pubmed/29881242
http://dx.doi.org/10.1186/s13660-018-1718-7